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How to find integral of the output of a system of ...

Asked by: Katatonia 65
September 01 2020
1  3

I am using Maple to solve a system of ODEs numerically. Right now, I want to find the integration of the output of the system of ODEs. How it is possible to do this? 

F := dsolve(ODESys union ICs, {y0(t), y1(t), y2(t), y3(t)}, type = numeric)

Y0 := t -> rhs(op(2, F(t)))

Now, I want to find int(Y0,t=0..1).

express the function z in terms of Legendre functi...

Asked by: fatemeh1090 65
legendre
August 31 2020
0  5

How I can prove the following equation in red box.

Also, Pn(v) and qn(v) are the real combinations of half-integer Legendre functions.

For more details please see 

https://math.stackexchange.com/questions/2746660/potential-flow-around-a-torus-laplace-equation-in-toroidal-coordinates/3809487#3809487

how to label y axis ...

Asked by: Reshu Gupta 60
label plotting
August 27 2020
2  10

Hello

I need Nu[a] in the label of y-axis.

i am writing      labels = [eta, 'Nu[a]'(eta)] but I am not getting. Please help me for writing correct code.

 

Inverse Laplace Transform sort of works and sort o...

Asked by: Michael 237
inttrans invlaplace
August 25 2020
1  1

Here are 4 statements that attempt to use invlaplace on the exponential function. Two work, two don't.

Does anyone know why the two that don't work do that?

Thank you.

__________________________

with(inttrans);
[addtable, fourier, fouriercos, fouriersin, hankel, hilbert,   invfourier, invhilbert, invlaplace, invmellin, laplace, mellin,   savetable]
invlaplace(exp(-s),s,t);
                          Dirac(t - 1)
invlaplace(exp(s),s,t);
                    invlaplace(exp(s), s, t)
invlaplace(exp(s),s,t) assuming s<0,s::real;
                    invlaplace(exp(s), s, t)

invlaplace(exp(-s),s,t) assuming s<0,s::real;
                          Dirac(t - 1)
What is going on here?
 

Why isn't "evalm" working?...

Asked by: Shiryui 5
linalg deprecated
August 23 2020
1  3

Can anyone kindly tell me why isn't "evalm" working even with all the neccessary varaibles have corresponding values? 

Thank you!

Here is my code:

How does one reference spacetime-metrics in Physic...

Asked by: prldb 50
metric physics
August 21 2020
1  2

The Help page Physics/tensors-a complete guide states that spacetime metrics from Kramer et al. are referenced by chapter, section, and equation number, e.g., g_[[12, 16, 1]]. But there is no section 16 in Ch 12 and equations within each chapter are numbered sequentially without reference to section. By playing around it seems that in fact the first number is chapter, the second number is equation number, and the third number refers to subcases of the metric, when they are specified in the text. Is that correct?

Also, the output I get from say g_[[27, 27, 1]], or any other attempt  made, is just the metric, without any specification of the coordinates etc, which the Help pages susggest should be part of the output.

Problem of integral calculus...

Asked by: afernande1008 10
integration numeric elliptic-integral
August 19 2020
2  6

Hi.

I am calculating an integral but I cannot get the result.
Can you help me.
I provide the file.

Tank you

Regards

integral_doubt.mw
 

> 

restart
> 

Rm := 2.5*10^(-3)

0.25e-2

 (1)
> 

Lm := 10^(-3)

1/1000

 (2)
> 

Ms := 10.7*10^5

0.11e7

 (3)
> 

ICMr := `assuming`([Ms*(int((z(t)-Z)*((Rm^2+r(t)^2+(z(t)-Z)^2)*(int(sqrt(1-4*r(t)*Rm*sin(phi)^2/((Rm+r(t))^2+(z(t)-Z)^2)), phi = 0 .. (1/2)*Pi))/((Rm-r(t))^2+(z(t)-Z)^2)-(int(1/sqrt(1-4*r(t)*Rm*sin(phi)^2/((Rm+r(t))^2+(z(t)-Z)^2)), phi = 0 .. (1/2)*Pi)))/(sqrt((Rm+r(t))^2+(z(t)-Z)^2)*r(t)), Z = -Lm .. 0))/(2*Pi)], [0 <= r(t), r(t) <= 2.5*10^(-3)])

 

 (12)
> 

``
> 

subs([r(t) = 0.24e-2, z(t) = 0.1e-2], ICMr)

 

 (13)
 

 
   

 


 

Download integral_doubt.mw

how to change the scale of y-axis in plotting. ple...

Asked by: Reshu Gupta 60
axis plotting tickmarks
August 19 2020
0  6

In this figure, y axis scale is -1, -0.5,0,0.5,1.

i need that scale -1, -0.1, -0.2 -0.3......1

how to change?

 

how remove RootOf ...

Asked by: fatemeh1090 65
solve explicit rootof
August 16 2020
0  1

How I can remove RootOf from the solution?

thanks.

root.mw

how do I write y' in maple?...

Asked by: faizfrhn 25
derivative 2dmath prime
August 12 2020
1  1

Hi,

I just wondering if I could write a variable as y' since when I try it, it will automatically diffrentiate the subject.

 

Thank you.

 

Why is matrix rank evaluating so slowly?...

Asked by: nrussoniello 10
linearalgebra rank
August 10 2020
0  5

I have the following program which constructs the multiplication table, CI, for a matrix Lie algebra and evaluates the difference between CI's row dimension and its rank. The code is a little convoluted because "LieTable" formats the entries very strangely and forces incorrect rank values.

The matrix CI is constructed rather quickly (within a few seconds), and everything works well with "small" examples (up to 12 basis elements has evaluated within seconds). However, the example I've included is for a 27-dimensional Lie algebra. As I stated, CI is constructed quickly, even in larger examples, but the rank evaluation (i.e., LinearAlgebra:-Rank(CI)) has never completed for the example I've included. I let it run for about 3 hours before shutting it down.

I have an older Macbook Air which I am using to run these computations. Could this simply be an issue of not enough computing power?

I have attempted to import the matrix CI into Mathematica (to see if it was simply a limitation of Maple), but that's its own headache (reads entries of the matrix incorrectly).

 

Any recommendations would help. If this is an issue of computing power, I can get access to a more powerful system soon. It doesn't seem that the code itself would cause the issue, since it is not the construction of the matrix which is giving me issues, it is the evaluation of the rank. I am rather naive about Maple (and programming in general) though, so I may be wrong.

 

Index_and_Contact.mw

Graphing a Unit Tangent Vector...

Asked by: anthonyfl 65
vector spacecurve 3d
August 06 2020
0  3

I have a position vector in 3D space of  <t,0,(2/3)t^(3/2)>,0<=t<=8. I found the unit tangent vector to be <1/((1+t)^(1/2)),0,(t^1/2)/((1+t)^(1/2))>. I am not sure how to graph the unit tangent vector and the position vector together. I attached the file I am working in.

 

Unit_Vector_Tangent.mwUnit_Vector_Tangent.mw

How do I simply an expression into simpler variabl...

Asked by: faizfrhn 25
simplify substitution
August 04 2020
2  4

Hi,

Is there any way we could use Maple to simplify an equation,

Example: M= 2pqrst / uvw 

I would like a code or a way to separate some variables into one variable, where the expression would be M = 2Krst / w

which can be said that K = pq / uv

I know that I can use the simplify command but it's only worked for simpler expression but not complicated one.

Really need help from you guys. 

 

Thank you :)

how to get fine cure in this figure?...

Asked by: Reshu Gupta 60
symbol plotting
August 01 2020
1  4

 

I need to get fine curved figure.

please suggest command.   Please also tell 6 differnt markers like symbol = asterisk.

how to print very lengthy equation? please help ...

Asked by: Reshu Gupta 60
ode dsolve differential-equations
July 31 2020
0  5

I am not geting value of F3.

question_1.mw
 

restart

A1 := diff(f[3](x), x, x, x, x)+2*R*(((A-1)*x+1)*(diff((1/210)*R^2*((1/72)*(-204*A*C1^2-408*A*C1*C2-204*A*C2^2+204*C1^2+408*C1*C2+204*C2^2)*x^9+(1/56)*(784*A*C1^2+1176*A*C1*C2+392*A*C2^2-1036*C1^2-1680*C1*C2-644*C2^2)*x^8+(1/42)*(2394*A*C1^2*L+4788*A*C1*C2*L+2394*A*C2^2*L-28*A^3-1064*A*C1^2-1064*A*C1*C2-140*A*C2^2-2394*C1^2*L-4788*C1*C2*L-2394*C2^2*L+84*A^2+2072*C1^2+2576*C1*C2+644*C2^2-84*A+28)*x^7+(1/30)*(-6300*A*C1^2*L-9450*A*C1*C2*L-3150*A*C2^2*L+420*A*C1^2+210*A*C1*C2+8820*C1^2*L+14490*C1*C2*L+5670*C2^2*L-140*A^2-1960*C1^2-1750*C1*C2-280*C2^2+280*A-140)*x^6+(1/20)*(-2520*A*C1^2*L^2-5040*A*C1*C2*L^2-2520*A*C2^2*L^2+70*A^3*L+5348*A*C1^2*L+5516*A*C1*C2*L+728*A*C2^2*L+2520*C1^2*L^2+5040*C1*C2*L^2+2520*C2^2*L^2+42*A^3-210*A^2*L+200*A*C1^2+120*A*C1*C2-80*A*C2^2-12068*C1^2*L-15596*C1*C2*L-4088*C2^2*L+14*A^2+210*A*L+780*C1^2+440*C1*C2+220*C2^2-294*A-70*L+238)*x^5+(1/12)*(5040*A*C1^2*L^2+7560*A*C1*C2*L^2+2520*A*C2^2*L^2-1176*A*C1^2*L-672*A*C1*C2*L+84*A*C2^2*L-5040*C1^2*L^2-7560*C1*C2*L^2-2520*C2^2*L^2-14*A^3+210*A^2*L-136*A*C1^2-34*A*C1*C2+32*A*C2^2+7308*C1^2*L+7056*C1*C2*L+1008*C2^2*L+70*A^2-420*A*L-12*C1^2+18*C1*C2-180*C2^2+112*A+210*L-168)*x^4+(1/6)*(-2772*A*C1^2*L^2-3024*A*C1*C2*L^2-252*A*C2^2*L^2-63*A^3*L-300*A*C1^2*L-180*A*C1*C2*L+120*A*C2^2*L+2772*C1^2*L^2+3024*C1*C2*L^2+252*C2^2*L^2-21*A^2*L-1842*C1^2*L-1164*C1*C2*L-162*C2^2*L-28*A^2+231*A*L-48*C1^2-12*C1*C2+36*C2^2-14*A-147*L+42)*x^3)+(1/2)*(-(2/15)*L*R^2*A-(1/30)*L*R^2*A^2+(24/35)*L*R^2*C1^2+(17/35)*L*R^2*C2^2+(1/15)*L*R^2*A^3+(6/35)*L*R^2*C1*C2-(6/5)*L^2*R^2*C1*C2+(68/105)*L*R^2*A*C1^2-(16/105)*L*R^2*A*C2^2+(8/5)*L^2*R^2*A*C1^2-(2/5)*L^2*R^2*C2^2*A+(17/105)*L*R^2*A*C1*C2+(6/5)*L^2*R^2*A*C1*C2-(8/5)*C1^2*R^2*L^2+(2/5)*L^2*R^2*C2^2+(1/10)*L*R^2)*x^2+(-(86/525)*L*R^2*A*C1^2-(29/1050)*L*R^2*A*C1*C2+(1/350)*L*R^2*A*C2^2-(2/1575)*R^2*A^3+(1/140)*R^2*A*C1^2-(1/1260)*R^2*A*C1*C2+(1/420)*R^2*A*C2^2-(19/525)*L*R^2*C1^2-(1/175)*L*R^2*C1*C2-(89/525)*L*R^2*C2^2+(2/525)*R^2*A^2+(1/126)*C1^2*R^2-(1/1260)*R^2*C1*C2+(1/315)*R^2*C2^2+(11/6300)*R^2*A-(3/700)*R^2)*x, x))+(-2*R*(-(1/10)*A*C1*x^5-(1/10)*A*C2*x^5+(1/2)*A*C1*L*x^3+(1/6)*A*C1*x^4+(1/2)*A*C2*L*x^3+(1/12)*A*C2*x^4+(1/10)*x^5*C1+(1/10)*x^5*C2-A*C1*L*x^2-(1/2)*A*C2*L*x^2-(1/2)*C1*x^3*L-(5/12)*x^4*C1-(1/2)*C2*L*x^3-(1/3)*x^4*C2+C1*x^2*L+(2/3)*C1*x^3+(1/2)*C2*L*x^2+(1/3)*x^3*C2-(1/2)*C1*x^2)+(-A*C1*L*R+(2/15)*R*C1*A-(1/30)*R*A*C2+C1*L*R-(3/10)*R*C1+(1/5)*R*C2)*x)*(diff(-2*R*(-(1/10)*A*C1*x^5-(1/10)*A*C2*x^5+(1/2)*A*C1*L*x^3+(1/6)*A*C1*x^4+(1/2)*A*C2*L*x^3+(1/12)*A*C2*x^4+(1/10)*x^5*C1+(1/10)*x^5*C2-A*C1*L*x^2-(1/2)*A*C2*L*x^2-(1/2)*C1*x^3*L-(5/12)*x^4*C1-(1/2)*C2*L*x^3-(1/3)*x^4*C2+C1*x^2*L+(2/3)*C1*x^3+(1/2)*C2*L*x^2+(1/3)*x^3*C2-(1/2)*C1*x^2)+(-A*C1*L*R+(2/15)*R*C1*A-(1/30)*R*A*C2+C1*L*R-(3/10)*R*C1+(1/5)*R*C2)*x, x))+((1/210)*R^2*((1/72)*(-204*A*C1^2-408*A*C1*C2-204*A*C2^2+204*C1^2+408*C1*C2+204*C2^2)*x^9+(1/56)*(784*A*C1^2+1176*A*C1*C2+392*A*C2^2-1036*C1^2-1680*C1*C2-644*C2^2)*x^8+(1/42)*(2394*A*C1^2*L+4788*A*C1*C2*L+2394*A*C2^2*L-28*A^3-1064*A*C1^2-1064*A*C1*C2-140*A*C2^2-2394*C1^2*L-4788*C1*C2*L-2394*C2^2*L+84*A^2+2072*C1^2+2576*C1*C2+644*C2^2-84*A+28)*x^7+(1/30)*(-6300*A*C1^2*L-9450*A*C1*C2*L-3150*A*C2^2*L+420*A*C1^2+210*A*C1*C2+8820*C1^2*L+14490*C1*C2*L+5670*C2^2*L-140*A^2-1960*C1^2-1750*C1*C2-280*C2^2+280*A-140)*x^6+(1/20)*(-2520*A*C1^2*L^2-5040*A*C1*C2*L^2-2520*A*C2^2*L^2+70*A^3*L+5348*A*C1^2*L+5516*A*C1*C2*L+728*A*C2^2*L+2520*C1^2*L^2+5040*C1*C2*L^2+2520*C2^2*L^2+42*A^3-210*A^2*L+200*A*C1^2+120*A*C1*C2-80*A*C2^2-12068*C1^2*L-15596*C1*C2*L-4088*C2^2*L+14*A^2+210*A*L+780*C1^2+440*C1*C2+220*C2^2-294*A-70*L+238)*x^5+(1/12)*(5040*A*C1^2*L^2+7560*A*C1*C2*L^2+2520*A*C2^2*L^2-1176*A*C1^2*L-672*A*C1*C2*L+84*A*C2^2*L-5040*C1^2*L^2-7560*C1*C2*L^2-2520*C2^2*L^2-14*A^3+210*A^2*L-136*A*C1^2-34*A*C1*C2+32*A*C2^2+7308*C1^2*L+7056*C1*C2*L+1008*C2^2*L+70*A^2-420*A*L-12*C1^2+18*C1*C2-180*C2^2+112*A+210*L-168)*x^4+(1/6)*(-2772*A*C1^2*L^2-3024*A*C1*C2*L^2-252*A*C2^2*L^2-63*A^3*L-300*A*C1^2*L-180*A*C1*C2*L+120*A*C2^2*L+2772*C1^2*L^2+3024*C1*C2*L^2+252*C2^2*L^2-21*A^2*L-1842*C1^2*L-1164*C1*C2*L-162*C2^2*L-28*A^2+231*A*L-48*C1^2-12*C1*C2+36*C2^2-14*A-147*L+42)*x^3)+(1/2)*(-(2/15)*L*R^2*A-(1/30)*L*R^2*A^2+(24/35)*L*R^2*C1^2+(17/35)*L*R^2*C2^2+(1/15)*L*R^2*A^3+(6/35)*L*R^2*C1*C2-(6/5)*L^2*R^2*C1*C2+(68/105)*L*R^2*A*C1^2-(16/105)*L*R^2*A*C2^2+(8/5)*L^2*R^2*A*C1^2-(2/5)*L^2*R^2*C2^2*A+(17/105)*L*R^2*A*C1*C2+(6/5)*L^2*R^2*A*C1*C2-(8/5)*C1^2*R^2*L^2+(2/5)*L^2*R^2*C2^2+(1/10)*L*R^2)*x^2+(-(86/525)*L*R^2*A*C1^2-(29/1050)*L*R^2*A*C1*C2+(1/350)*L*R^2*A*C2^2-(2/1575)*R^2*A^3+(1/140)*R^2*A*C1^2-(1/1260)*R^2*A*C1*C2+(1/420)*R^2*A*C2^2-(19/525)*L*R^2*C1^2-(1/175)*L*R^2*C1*C2-(89/525)*L*R^2*C2^2+(2/525)*R^2*A^2+(1/126)*C1^2*R^2-(1/1260)*R^2*C1*C2+(1/315)*R^2*C2^2+(11/6300)*R^2*A-(3/700)*R^2)*x)*(diff((A-1)*x+1, x))+((1/6)*(6*C2+6*C1)*x^3+(1/2)*(-2*C2-4*C1)*x^2+C1*x)*(diff(-(1/105)*R^2*((1/7920)*(-648*C1^3-1944*C1^2*C2-1944*C1*C2^2-648*C2^3)*x^11+(1/5040)*(3024*C1^3+7560*C1^2*C2+6048*C1*C2^2+1512*C2^3)*x^10+(1/3024)*(16632*C1^3*L+49896*C1^2*C2*L+49896*C1*C2^2*L+16632*C2^3*L+21*A^2*C1+21*A^2*C2-5376*C1^3-10752*C1^2*C2-6216*C1*C2^2-840*C2^3-42*A*C1-42*A*C2+21*C1+21*C2)*x^9+(1/1680)*(-55440*C1^3*L-138600*C1^2*C2*L-110880*C1*C2^2*L-27720*C2^3*L+70*A^2*C1+35*A^2*C2+4200*C1^3+6300*C1^2*C2+2100*C1*C2^2+70*A*C1+140*A*C2-140*C1-175*C2)*x^8+(1/840)*(-83160*C1^3*L^2-249480*C1^2*C2*L^2-249480*C1*C2^2*L^2-83160*C2^3*L^2+210*A^2*C1*L+210*A^2*C2*L+65184*C1^3*L+130872*C1^2*C2*L+75432*C1*C2^2*L+9744*C2^3*L-84*A^2*C1+126*A^2*C2-420*A*C1*L-420*A*C2*L-996*C1^3-888*C1^2*C2-48*C1*C2^2-156*C2^3+28*A*C1-112*A*C2+210*C1*L+210*C2*L+476*C1+406*C2)*x^7+(1/360)*(166320*C1^3*L^2+415800*C1^2*C2*L^2+332640*C1*C2^2*L^2+83160*C2^3*L^2+840*A^2*C1*L+420*A^2*C2*L-29232*C1^3*L-44604*C1^2*C2*L-15372*C1*C2^2*L-168*A^2*C1-105*A^2*C2+210*A*C1*L+1050*A*C2*L-336*C1^3-330*C1^2*C2+138*C1*C2^2+132*C2^3+21*A*C1-105*A*C2-1050*C1*L-1470*C2*L-693*C1-210*C2)*x^6+(1/120)*(1890*A^2*C1*L^2+1890*A^2*C2*L^2-101304*C1^3*L^2-205632*C1^2*C2*L^2-122472*C1*C2^2*L^2-18144*C2^3*L^2-966*A^2*C1*L-756*A^2*C2*L-3780*A*C1*L^2-3780*A*C2*L^2+2448*C1^3*L+2052*C1^2*C2*L+540*C1*C2^2*L+936*C2^3*L+119*A^2*C1-14*A^2*C2+252*A*C1*L-588*A*C2*L+132*C1^3+54*C1^2*C2-78*C1*C2^2+1890*C1*L^2+1890*C2*L^2-98*A*C1+98*A*C2+714*C1*L+1344*C2*L+399*C1-84*C2)*x^5)+(1/24)*(-2*L*R^2*A*C2-(1368/5)*L^2*R^2*C1^2*C2-(504/5)*L^2*R^2*C1*C2^2-(44/7)*L*R^2*C1^2*C2+(92/35)*L*R^2*C1*C2^2-(16/5)*L*R^2*A^2*C1-2*L*R^2*A^2*C2-24*L^2*R^2*A*C1-12*L^2*R^2*A*C2+12*L^2*R^2*A^2*C1+6*L^2*R^2*A^2*C2-(4/15)*R^2*A*C1+(12/5)*L*R^2*A*C1+(1/15)*R^2*A*C2+(4/5)*L*R^2*C1+4*L*R^2*C2+12*L^2*R^2*C1+6*L^2*R^2*C2-(864/5)*L^2*R^2*C1^3-(32/5)*L*R^2*C1^3+(88/35)*L*R^2*C2^3-(2/5)*R^2*C2+(3/5)*R^2*C1)*x^4+(1/6)*((157/6300)*R^2*A*C1-(446/525)*L*R^2*A*C1-(2777/242550)*R^2*C1*C2^2+(653/12600)*R^2*A^2*C1+(1783/121275)*R^2*C2^3+(1783/121275)*R^2*C1^3+(359/525)*L*R^2*A*C2+(3882/175)*L^2*R^2*C1^2*C2+(312/175)*L^2*R^2*C1*C2^2+(102/175)*L*R^2*C1^2*C2-(118/175)*L*R^2*C1*C2^2+(33/5)*L^2*R^2*A*C1-(61/1800)*R^2*C1+(13/525)*L*R^2*C1+(157/6300)*R^2*A*C2-(989/1050)*L*R^2*C2-(3/10)*L^2*R^2*C2+(3324/175)*L^2*R^2*C1^3-(61/1800)*R^2*A^2*C2+(209/175)*L*R^2*C1^3-(11/175)*L*R^2*C2^3-(2777/242550)*R^2*C1^2*C2-(246/175)*R^2*L^2*C2^3+(653/12600)*R^2*C2-(33/10)*L^2*R^2*C1+(433/525)*L*R^2*A^2*C1+(271/1050)*L*R^2*A^2*C2+(3/5)*L^2*R^2*A*C2-(33/10)*L^2*R^2*A^2*C1-(3/10)*L^2*R^2*A^2*C2)*x^3+(1/2)*((1/1575)*R^2*A*C1+(131/1050)*L*R^2*A*C1+(59/121275)*R^2*C1*C2^2-(13/1575)*R^2*A^2*C1-(314/121275)*R^2*C2^3-(83/121275)*R^2*C1^3-(19/175)*L*R^2*A*C2-(156/175)*L^2*R^2*C1^2*C2+(54/175)*L^2*R^2*C1*C2^2+(1/175)*L*R^2*C1^2*C2+(8/175)*L*R^2*C1*C2^2-(4/5)*L^2*R^2*A*C1-(17/6300)*R^2*C1-(13/1050)*L*R^2*C1-(8/1575)*R^2*A*C2+(127/1050)*L*R^2*C2-(1/10)*L^2*R^2*C2-(192/175)*L^2*R^2*C1^3+(29/4200)*R^2*A^2*C2-(12/175)*L*R^2*C1^3-(1/35)*L*R^2*C2^3+(58/24255)*R^2*C1^2*C2+(18/175)*R^2*L^2*C2^3-(13/12600)*R^2*C2+(2/5)*L^2*R^2*C1-(59/525)*L*R^2*A^2*C1-(13/1050)*L*R^2*A^2*C2+(1/5)*L^2*R^2*A*C2+(2/5)*L^2*R^2*A^2*C1-(1/10)*L^2*R^2*A^2*C2)*x^2, x, x, x))+(-2*R*((1/140)*C1^2*x^7+(1/70)*C1*C2*x^7+(1/140)*C2^2*x^7-(3/10)*C1^2*L*x^5-(1/30)*C1^2*x^6-(3/5)*C1*C2*L*x^5-(1/20)*C1*C2*x^6-(3/10)*C2^2*L*x^5-(1/60)*C2^2*x^6+(1/120)*A^2*x^5+C1^2*L*x^4+(1/20)*C1^2*x^5+(3/2)*C1*C2*L*x^4+(1/20)*C1*C2*x^5+(1/2)*C2^2*L*x^4-(1/60)*x^5*A+(1/24)*x^4*A+(1/120)*x^5-(1/24)*x^4)+(1/6)*((66/5)*C1^2*L*R+(72/5)*C1*C2*L*R+(6/5)*C2^2*L*R+(3/10)*R*A^2+(22/35)*R*C1^2+(9/35)*R*C1*C2-(13/35)*R*C2^2+(2/5)*R*A-(7/10)*R)*x^3+(1/2)*(-(8/5)*C1^2*L*R-(6/5)*C1*C2*L*R+(2/5)*C2^2*L*R-(1/15)*R*A^2-(4/35)*R*C1^2-(1/35)*R*C1*C2+(3/35)*R*C2^2-(1/30)*R*A+(1/10)*R)*x^2)*(diff(-2*R*((1/140)*C1^2*x^7+(1/70)*C1*C2*x^7+(1/140)*C2^2*x^7-(3/10)*C1^2*L*x^5-(1/30)*C1^2*x^6-(3/5)*C1*C2*L*x^5-(1/20)*C1*C2*x^6-(3/10)*C2^2*L*x^5-(1/60)*C2^2*x^6+(1/120)*A^2*x^5+C1^2*L*x^4+(1/20)*C1^2*x^5+(3/2)*C1*C2*L*x^4+(1/20)*C1*C2*x^5+(1/2)*C2^2*L*x^4-(1/60)*x^5*A+(1/24)*x^4*A+(1/120)*x^5-(1/24)*x^4)+(1/6)*((66/5)*C1^2*L*R+(72/5)*C1*C2*L*R+(6/5)*C2^2*L*R+(3/10)*R*A^2+(22/35)*R*C1^2+(9/35)*R*C1*C2-(13/35)*R*C2^2+(2/5)*R*A-(7/10)*R)*x^3+(1/2)*(-(8/5)*C1^2*L*R-(6/5)*C1*C2*L*R+(2/5)*C2^2*L*R-(1/15)*R*A^2-(4/35)*R*C1^2-(1/35)*R*C1*C2+(3/35)*R*C2^2-(1/30)*R*A+(1/10)*R)*x^2, x, x, 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x, x, x, x))+(diff(-2*R*((1/140)*C1^2*x^7+(1/70)*C1*C2*x^7+(1/140)*C2^2*x^7-(3/10)*C1^2*L*x^5-(1/30)*C1^2*x^6-(3/5)*C1*C2*L*x^5-(1/20)*C1*C2*x^6-(3/10)*C2^2*L*x^5-(1/60)*C2^2*x^6+(1/120)*A^2*x^5+C1^2*L*x^4+(1/20)*C1^2*x^5+(3/2)*C1*C2*L*x^4+(1/20)*C1*C2*x^5+(1/2)*C2^2*L*x^4-(1/60)*x^5*A+(1/24)*x^4*A+(1/120)*x^5-(1/24)*x^4)+(1/6)*((66/5)*C1^2*L*R+(72/5)*C1*C2*L*R+(6/5)*C2^2*L*R+(3/10)*R*A^2+(22/35)*R*C1^2+(9/35)*R*C1*C2-(13/35)*R*C2^2+(2/5)*R*A-(7/10)*R)*x^3+(1/2)*(-(8/5)*C1^2*L*R-(6/5)*C1*C2*L*R+(2/5)*C2^2*L*R-(1/15)*R*A^2-(4/35)*R*C1^2-(1/35)*R*C1*C2+(3/35)*R*C2^2-(1/30)*R*A+(1/10)*R)*x^2, x))*(diff(-2*R*((1/140)*C1^2*x^7+(1/70)*C1*C2*x^7+(1/140)*C2^2*x^7-(3/10)*C1^2*L*x^5-(1/30)*C1^2*x^6-(3/5)*C1*C2*L*x^5-(1/20)*C1*C2*x^6-(3/10)*C2^2*L*x^5-(1/60)*C2^2*x^6+(1/120)*A^2*x^5+C1^2*L*x^4+(1/20)*C1^2*x^5+(3/2)*C1*C2*L*x^4+(1/20)*C1*C2*x^5+(1/2)*C2^2*L*x^4-(1/60)*x^5*A+(1/24)*x^4*A+(1/120)*x^5-(1/24)*x^4)+(1/6)*((66/5)*C1^2*L*R+(72/5)*C1*C2*L*R+(6/5)*C2^2*L*R+(3/10)*R*A^2+(22/35)*R*C1^2+(9/35)*R*C1*C2-(13/35)*R*C2^2+(2/5)*R*A-(7/10)*R)*x^3+(1/2)*(-(8/5)*C1^2*L*R-(6/5)*C1*C2*L*R+(2/5)*C2^2*L*R-(1/15)*R*A^2-(4/35)*R*C1^2-(1/35)*R*C1*C2+(3/35)*R*C2^2-(1/30)*R*A+(1/10)*R)*x^2, x, x, x, x))+(diff(-(1/105)*R^2*((1/7920)*(-648*C1^3-1944*C1^2*C2-1944*C1*C2^2-648*C2^3)*x^11+(1/5040)*(3024*C1^3+7560*C1^2*C2+6048*C1*C2^2+1512*C2^3)*x^10+(1/3024)*(16632*C1^3*L+49896*C1^2*C2*L+49896*C1*C2^2*L+16632*C2^3*L+21*A^2*C1+21*A^2*C2-5376*C1^3-10752*C1^2*C2-6216*C1*C2^2-840*C2^3-42*A*C1-42*A*C2+21*C1+21*C2)*x^9+(1/1680)*(-55440*C1^3*L-138600*C1^2*C2*L-110880*C1*C2^2*L-27720*C2^3*L+70*A^2*C1+35*A^2*C2+4200*C1^3+6300*C1^2*C2+2100*C1*C2^2+70*A*C1+140*A*C2-140*C1-175*C2)*x^8+(1/840)*(-83160*C1^3*L^2-249480*C1^2*C2*L^2-249480*C1*C2^2*L^2-83160*C2^3*L^2+210*A^2*C1*L+210*A^2*C2*L+65184*C1^3*L+130872*C1^2*C2*L+75432*C1*C2^2*L+9744*C2^3*L-84*A^2*C1+126*A^2*C2-420*A*C1*L-420*A*C2*L-996*C1^3-888*C1^2*C2-48*C1*C2^2-156*C2^3+28*A*C1-112*A*C2+210*C1*L+210*C2*L+476*C1+406*C2)*x^7+(1/360)*(166320*C1^3*L^2+415800*C1^2*C2*L^2+332640*C1*C2^2*L^2+83160*C2^3*L^2+840*A^2*C1*L+420*A^2*C2*L-29232*C1^3*L-44604*C1^2*C2*L-15372*C1*C2^2*L-168*A^2*C1-105*A^2*C2+210*A*C1*L+1050*A*C2*L-336*C1^3-330*C1^2*C2+138*C1*C2^2+132*C2^3+21*A*C1-105*A*C2-1050*C1*L-1470*C2*L-693*C1-210*C2)*x^6+(1/120)*(1890*A^2*C1*L^2+1890*A^2*C2*L^2-101304*C1^3*L^2-205632*C1^2*C2*L^2-122472*C1*C2^2*L^2-18144*C2^3*L^2-966*A^2*C1*L-756*A^2*C2*L-3780*A*C1*L^2-3780*A*C2*L^2+2448*C1^3*L+2052*C1^2*C2*L+540*C1*C2^2*L+936*C2^3*L+119*A^2*C1-14*A^2*C2+252*A*C1*L-588*A*C2*L+132*C1^3+54*C1^2*C2-78*C1*C2^2+1890*C1*L^2+1890*C2*L^2-98*A*C1+98*A*C2+714*C1*L+1344*C2*L+399*C1-84*C2)*x^5)+(1/24)*(-2*L*R^2*A*C2-(1368/5)*L^2*R^2*C1^2*C2-(504/5)*L^2*R^2*C1*C2^2-(44/7)*L*R^2*C1^2*C2+(92/35)*L*R^2*C1*C2^2-(16/5)*L*R^2*A^2*C1-2*L*R^2*A^2*C2-24*L^2*R^2*A*C1-12*L^2*R^2*A*C2+12*L^2*R^2*A^2*C1+6*L^2*R^2*A^2*C2-(4/15)*R^2*A*C1+(12/5)*L*R^2*A*C1+(1/15)*R^2*A*C2+(4/5)*L*R^2*C1+4*L*R^2*C2+12*L^2*R^2*C1+6*L^2*R^2*C2-(864/5)*L^2*R^2*C1^3-(32/5)*L*R^2*C1^3+(88/35)*L*R^2*C2^3-(2/5)*R^2*C2+(3/5)*R^2*C1)*x^4+(1/6)*((157/6300)*R^2*A*C1-(446/525)*L*R^2*A*C1-(2777/242550)*R^2*C1*C2^2+(653/12600)*R^2*A^2*C1+(1783/121275)*R^2*C2^3+(1783/121275)*R^2*C1^3+(359/525)*L*R^2*A*C2+(3882/175)*L^2*R^2*C1^2*C2+(312/175)*L^2*R^2*C1*C2^2+(102/175)*L*R^2*C1^2*C2-(118/175)*L*R^2*C1*C2^2+(33/5)*L^2*R^2*A*C1-(61/1800)*R^2*C1+(13/525)*L*R^2*C1+(157/6300)*R^2*A*C2-(989/1050)*L*R^2*C2-(3/10)*L^2*R^2*C2+(3324/175)*L^2*R^2*C1^3-(61/1800)*R^2*A^2*C2+(209/175)*L*R^2*C1^3-(11/175)*L*R^2*C2^3-(2777/242550)*R^2*C1^2*C2-(246/175)*R^2*L^2*C2^3+(653/12600)*R^2*C2-(33/10)*L^2*R^2*C1+(433/525)*L*R^2*A^2*C1+(271/1050)*L*R^2*A^2*C2+(3/5)*L^2*R^2*A*C2-(33/10)*L^2*R^2*A^2*C1-(3/10)*L^2*R^2*A^2*C2)*x^3+(1/2)*((1/1575)*R^2*A*C1+(131/1050)*L*R^2*A*C1+(59/121275)*R^2*C1*C2^2-(13/1575)*R^2*A^2*C1-(314/121275)*R^2*C2^3-(83/121275)*R^2*C1^3-(19/175)*L*R^2*A*C2-(156/175)*L^2*R^2*C1^2*C2+(54/175)*L^2*R^2*C1*C2^2+(1/175)*L*R^2*C1^2*C2+(8/175)*L*R^2*C1*C2^2-(4/5)*L^2*R^2*A*C1-(17/6300)*R^2*C1-(13/1050)*L*R^2*C1-(8/1575)*R^2*A*C2+(127/1050)*L*R^2*C2-(1/10)*L^2*R^2*C2-(192/175)*L^2*R^2*C1^3+(29/4200)*R^2*A^2*C2-(12/175)*L*R^2*C1^3-(1/35)*L*R^2*C2^3+(58/24255)*R^2*C1^2*C2+(18/175)*R^2*L^2*C2^3-(13/12600)*R^2*C2+(2/5)*L^2*R^2*C1-(59/525)*L*R^2*A^2*C1-(13/1050)*L*R^2*A^2*C2+(1/5)*L^2*R^2*A*C2+(2/5)*L^2*R^2*A^2*C1-(1/10)*L^2*R^2*A^2*C2)*x^2, x))*(diff((1/6)*(6*C2+6*C1)*x^3+(1/2)*(-2*C2-4*C1)*x^2+C1*x, x, x, x, x))+3*(diff((A-1)*x+1, x))*(diff((1/210)*R^2*((1/72)*(-204*A*C1^2-408*A*C1*C2-204*A*C2^2+204*C1^2+408*C1*C2+204*C2^2)*x^9+(1/56)*(784*A*C1^2+1176*A*C1*C2+392*A*C2^2-1036*C1^2-1680*C1*C2-644*C2^2)*x^8+(1/42)*(2394*A*C1^2*L+4788*A*C1*C2*L+2394*A*C2^2*L-28*A^3-1064*A*C1^2-1064*A*C1*C2-140*A*C2^2-2394*C1^2*L-4788*C1*C2*L-2394*C2^2*L+84*A^2+2072*C1^2+2576*C1*C2+644*C2^2-84*A+28)*x^7+(1/30)*(-6300*A*C1^2*L-9450*A*C1*C2*L-3150*A*C2^2*L+420*A*C1^2+210*A*C1*C2+8820*C1^2*L+14490*C1*C2*L+5670*C2^2*L-140*A^2-1960*C1^2-1750*C1*C2-280*C2^2+280*A-140)*x^6+(1/20)*(-2520*A*C1^2*L^2-5040*A*C1*C2*L^2-2520*A*C2^2*L^2+70*A^3*L+5348*A*C1^2*L+5516*A*C1*C2*L+728*A*C2^2*L+2520*C1^2*L^2+5040*C1*C2*L^2+2520*C2^2*L^2+42*A^3-210*A^2*L+200*A*C1^2+120*A*C1*C2-80*A*C2^2-12068*C1^2*L-15596*C1*C2*L-4088*C2^2*L+14*A^2+210*A*L+780*C1^2+440*C1*C2+220*C2^2-294*A-70*L+238)*x^5+(1/12)*(5040*A*C1^2*L^2+7560*A*C1*C2*L^2+2520*A*C2^2*L^2-1176*A*C1^2*L-672*A*C1*C2*L+84*A*C2^2*L-5040*C1^2*L^2-7560*C1*C2*L^2-2520*C2^2*L^2-14*A^3+210*A^2*L-136*A*C1^2-34*A*C1*C2+32*A*C2^2+7308*C1^2*L+7056*C1*C2*L+1008*C2^2*L+70*A^2-420*A*L-12*C1^2+18*C1*C2-180*C2^2+112*A+210*L-168)*x^4+(1/6)*(-2772*A*C1^2*L^2-3024*A*C1*C2*L^2-252*A*C2^2*L^2-63*A^3*L-300*A*C1^2*L-180*A*C1*C2*L+120*A*C2^2*L+2772*C1^2*L^2+3024*C1*C2*L^2+252*C2^2*L^2-21*A^2*L-1842*C1^2*L-1164*C1*C2*L-162*C2^2*L-28*A^2+231*A*L-48*C1^2-12*C1*C2+36*C2^2-14*A-147*L+42)*x^3)+(1/2)*(-(2/15)*L*R^2*A-(1/30)*L*R^2*A^2+(24/35)*L*R^2*C1^2+(17/35)*L*R^2*C2^2+(1/15)*L*R^2*A^3+(6/35)*L*R^2*C1*C2-(6/5)*L^2*R^2*C1*C2+(68/105)*L*R^2*A*C1^2-(16/105)*L*R^2*A*C2^2+(8/5)*L^2*R^2*A*C1^2-(2/5)*L^2*R^2*C2^2*A+(17/105)*L*R^2*A*C1*C2+(6/5)*L^2*R^2*A*C1*C2-(8/5)*C1^2*R^2*L^2+(2/5)*L^2*R^2*C2^2+(1/10)*L*R^2)*x^2+(-(86/525)*L*R^2*A*C1^2-(29/1050)*L*R^2*A*C1*C2+(1/350)*L*R^2*A*C2^2-(2/1575)*R^2*A^3+(1/140)*R^2*A*C1^2-(1/1260)*R^2*A*C1*C2+(1/420)*R^2*A*C2^2-(19/525)*L*R^2*C1^2-(1/175)*L*R^2*C1*C2-(89/525)*L*R^2*C2^2+(2/525)*R^2*A^2+(1/126)*C1^2*R^2-(1/1260)*R^2*C1*C2+(1/315)*R^2*C2^2+(11/6300)*R^2*A-(3/700)*R^2)*x, x, x))+3*(diff(-2*R*(-(1/10)*A*C1*x^5-(1/10)*A*C2*x^5+(1/2)*A*C1*L*x^3+(1/6)*A*C1*x^4+(1/2)*A*C2*L*x^3+(1/12)*A*C2*x^4+(1/10)*x^5*C1+(1/10)*x^5*C2-A*C1*L*x^2-(1/2)*A*C2*L*x^2-(1/2)*C1*x^3*L-(5/12)*x^4*C1-(1/2)*C2*L*x^3-(1/3)*x^4*C2+C1*x^2*L+(2/3)*C1*x^3+(1/2)*C2*L*x^2+(1/3)*x^3*C2-(1/2)*C1*x^2)+(-A*C1*L*R+(2/15)*R*C1*A-(1/30)*R*A*C2+C1*L*R-(3/10)*R*C1+(1/5)*R*C2)*x, x))*(diff(-2*R*(-(1/10)*A*C1*x^5-(1/10)*A*C2*x^5+(1/2)*A*C1*L*x^3+(1/6)*A*C1*x^4+(1/2)*A*C2*L*x^3+(1/12)*A*C2*x^4+(1/10)*x^5*C1+(1/10)*x^5*C2-A*C1*L*x^2-(1/2)*A*C2*L*x^2-(1/2)*C1*x^3*L-(5/12)*x^4*C1-(1/2)*C2*L*x^3-(1/3)*x^4*C2+C1*x^2*L+(2/3)*C1*x^3+(1/2)*C2*L*x^2+(1/3)*x^3*C2-(1/2)*C1*x^2)+(-A*C1*L*R+(2/15)*R*C1*A-(1/30)*R*A*C2+C1*L*R-(3/10)*R*C1+(1/5)*R*C2)*x, x, x))+3*(diff((1/210)*R^2*((1/72)*(-204*A*C1^2-408*A*C1*C2-204*A*C2^2+204*C1^2+408*C1*C2+204*C2^2)*x^9+(1/56)*(784*A*C1^2+1176*A*C1*C2+392*A*C2^2-1036*C1^2-1680*C1*C2-644*C2^2)*x^8+(1/42)*(2394*A*C1^2*L+4788*A*C1*C2*L+2394*A*C2^2*L-28*A^3-1064*A*C1^2-1064*A*C1*C2-140*A*C2^2-2394*C1^2*L-4788*C1*C2*L-2394*C2^2*L+84*A^2+2072*C1^2+2576*C1*C2+644*C2^2-84*A+28)*x^7+(1/30)*(-6300*A*C1^2*L-9450*A*C1*C2*L-3150*A*C2^2*L+420*A*C1^2+210*A*C1*C2+8820*C1^2*L+14490*C1*C2*L+5670*C2^2*L-140*A^2-1960*C1^2-1750*C1*C2-280*C2^2+280*A-140)*x^6+(1/20)*(-2520*A*C1^2*L^2-5040*A*C1*C2*L^2-2520*A*C2^2*L^2+70*A^3*L+5348*A*C1^2*L+5516*A*C1*C2*L+728*A*C2^2*L+2520*C1^2*L^2+5040*C1*C2*L^2+2520*C2^2*L^2+42*A^3-210*A^2*L+200*A*C1^2+120*A*C1*C2-80*A*C2^2-12068*C1^2*L-15596*C1*C2*L-4088*C2^2*L+14*A^2+210*A*L+780*C1^2+440*C1*C2+220*C2^2-294*A-70*L+238)*x^5+(1/12)*(5040*A*C1^2*L^2+7560*A*C1*C2*L^2+2520*A*C2^2*L^2-1176*A*C1^2*L-672*A*C1*C2*L+84*A*C2^2*L-5040*C1^2*L^2-7560*C1*C2*L^2-2520*C2^2*L^2-14*A^3+210*A^2*L-136*A*C1^2-34*A*C1*C2+32*A*C2^2+7308*C1^2*L+7056*C1*C2*L+1008*C2^2*L+70*A^2-420*A*L-12*C1^2+18*C1*C2-180*C2^2+112*A+210*L-168)*x^4+(1/6)*(-2772*A*C1^2*L^2-3024*A*C1*C2*L^2-252*A*C2^2*L^2-63*A^3*L-300*A*C1^2*L-180*A*C1*C2*L+120*A*C2^2*L+2772*C1^2*L^2+3024*C1*C2*L^2+252*C2^2*L^2-21*A^2*L-1842*C1^2*L-1164*C1*C2*L-162*C2^2*L-28*A^2+231*A*L-48*C1^2-12*C1*C2+36*C2^2-14*A-147*L+42)*x^3)+(1/2)*(-(2/15)*L*R^2*A-(1/30)*L*R^2*A^2+(24/35)*L*R^2*C1^2+(17/35)*L*R^2*C2^2+(1/15)*L*R^2*A^3+(6/35)*L*R^2*C1*C2-(6/5)*L^2*R^2*C1*C2+(68/105)*L*R^2*A*C1^2-(16/105)*L*R^2*A*C2^2+(8/5)*L^2*R^2*A*C1^2-(2/5)*L^2*R^2*C2^2*A+(17/105)*L*R^2*A*C1*C2+(6/5)*L^2*R^2*A*C1*C2-(8/5)*C1^2*R^2*L^2+(2/5)*L^2*R^2*C2^2+(1/10)*L*R^2)*x^2+(-(86/525)*L*R^2*A*C1^2-(29/1050)*L*R^2*A*C1*C2+(1/350)*L*R^2*A*C2^2-(2/1575)*R^2*A^3+(1/140)*R^2*A*C1^2-(1/1260)*R^2*A*C1*C2+(1/420)*R^2*A*C2^2-(19/525)*L*R^2*C1^2-(1/175)*L*R^2*C1*C2-(89/525)*L*R^2*C2^2+(2/525)*R^2*A^2+(1/126)*C1^2*R^2-(1/1260)*R^2*C1*C2+(1/315)*R^2*C2^2+(11/6300)*R^2*A-(3/700)*R^2)*x, x))*(diff((A-1)*x+1, x, x))+2*(diff((1/6)*(6*C2+6*C1)*x^3+(1/2)*(-2*C2-4*C1)*x^2+C1*x, x, x))*(diff(-(1/105)*R^2*((1/7920)*(-648*C1^3-1944*C1^2*C2-1944*C1*C2^2-648*C2^3)*x^11+(1/5040)*(3024*C1^3+7560*C1^2*C2+6048*C1*C2^2+1512*C2^3)*x^10+(1/3024)*(16632*C1^3*L+49896*C1^2*C2*L+49896*C1*C2^2*L+16632*C2^3*L+21*A^2*C1+21*A^2*C2-5376*C1^3-10752*C1^2*C2-6216*C1*C2^2-840*C2^3-42*A*C1-42*A*C2+21*C1+21*C2)*x^9+(1/1680)*(-55440*C1^3*L-138600*C1^2*C2*L-110880*C1*C2^2*L-27720*C2^3*L+70*A^2*C1+35*A^2*C2+4200*C1^3+6300*C1^2*C2+2100*C1*C2^2+70*A*C1+140*A*C2-140*C1-175*C2)*x^8+(1/840)*(-83160*C1^3*L^2-249480*C1^2*C2*L^2-249480*C1*C2^2*L^2-83160*C2^3*L^2+210*A^2*C1*L+210*A^2*C2*L+65184*C1^3*L+130872*C1^2*C2*L+75432*C1*C2^2*L+9744*C2^3*L-84*A^2*C1+126*A^2*C2-420*A*C1*L-420*A*C2*L-996*C1^3-888*C1^2*C2-48*C1*C2^2-156*C2^3+28*A*C1-112*A*C2+210*C1*L+210*C2*L+476*C1+406*C2)*x^7+(1/360)*(166320*C1^3*L^2+415800*C1^2*C2*L^2+332640*C1*C2^2*L^2+83160*C2^3*L^2+840*A^2*C1*L+420*A^2*C2*L-29232*C1^3*L-44604*C1^2*C2*L-15372*C1*C2^2*L-168*A^2*C1-105*A^2*C2+210*A*C1*L+1050*A*C2*L-336*C1^3-330*C1^2*C2+138*C1*C2^2+132*C2^3+21*A*C1-105*A*C2-1050*C1*L-1470*C2*L-693*C1-210*C2)*x^6+(1/120)*(1890*A^2*C1*L^2+1890*A^2*C2*L^2-101304*C1^3*L^2-205632*C1^2*C2*L^2-122472*C1*C2^2*L^2-18144*C2^3*L^2-966*A^2*C1*L-756*A^2*C2*L-3780*A*C1*L^2-3780*A*C2*L^2+2448*C1^3*L+2052*C1^2*C2*L+540*C1*C2^2*L+936*C2^3*L+119*A^2*C1-14*A^2*C2+252*A*C1*L-588*A*C2*L+132*C1^3+54*C1^2*C2-78*C1*C2^2+1890*C1*L^2+1890*C2*L^2-98*A*C1+98*A*C2+714*C1*L+1344*C2*L+399*C1-84*C2)*x^5)+(1/24)*(-2*L*R^2*A*C2-(1368/5)*L^2*R^2*C1^2*C2-(504/5)*L^2*R^2*C1*C2^2-(44/7)*L*R^2*C1^2*C2+(92/35)*L*R^2*C1*C2^2-(16/5)*L*R^2*A^2*C1-2*L*R^2*A^2*C2-24*L^2*R^2*A*C1-12*L^2*R^2*A*C2+12*L^2*R^2*A^2*C1+6*L^2*R^2*A^2*C2-(4/15)*R^2*A*C1+(12/5)*L*R^2*A*C1+(1/15)*R^2*A*C2+(4/5)*L*R^2*C1+4*L*R^2*C2+12*L^2*R^2*C1+6*L^2*R^2*C2-(864/5)*L^2*R^2*C1^3-(32/5)*L*R^2*C1^3+(88/35)*L*R^2*C2^3-(2/5)*R^2*C2+(3/5)*R^2*C1)*x^4+(1/6)*((157/6300)*R^2*A*C1-(446/525)*L*R^2*A*C1-(2777/242550)*R^2*C1*C2^2+(653/12600)*R^2*A^2*C1+(1783/121275)*R^2*C2^3+(1783/121275)*R^2*C1^3+(359/525)*L*R^2*A*C2+(3882/175)*L^2*R^2*C1^2*C2+(312/175)*L^2*R^2*C1*C2^2+(102/175)*L*R^2*C1^2*C2-(118/175)*L*R^2*C1*C2^2+(33/5)*L^2*R^2*A*C1-(61/1800)*R^2*C1+(13/525)*L*R^2*C1+(157/6300)*R^2*A*C2-(989/1050)*L*R^2*C2-(3/10)*L^2*R^2*C2+(3324/175)*L^2*R^2*C1^3-(61/1800)*R^2*A^2*C2+(209/175)*L*R^2*C1^3-(11/175)*L*R^2*C2^3-(2777/242550)*R^2*C1^2*C2-(246/175)*R^2*L^2*C2^3+(653/12600)*R^2*C2-(33/10)*L^2*R^2*C1+(433/525)*L*R^2*A^2*C1+(271/1050)*L*R^2*A^2*C2+(3/5)*L^2*R^2*A*C2-(33/10)*L^2*R^2*A^2*C1-(3/10)*L^2*R^2*A^2*C2)*x^3+(1/2)*((1/1575)*R^2*A*C1+(131/1050)*L*R^2*A*C1+(59/121275)*R^2*C1*C2^2-(13/1575)*R^2*A^2*C1-(314/121275)*R^2*C2^3-(83/121275)*R^2*C1^3-(19/175)*L*R^2*A*C2-(156/175)*L^2*R^2*C1^2*C2+(54/175)*L^2*R^2*C1*C2^2+(1/175)*L*R^2*C1^2*C2+(8/175)*L*R^2*C1*C2^2-(4/5)*L^2*R^2*A*C1-(17/6300)*R^2*C1-(13/1050)*L*R^2*C1-(8/1575)*R^2*A*C2+(127/1050)*L*R^2*C2-(1/10)*L^2*R^2*C2-(192/175)*L^2*R^2*C1^3+(29/4200)*R^2*A^2*C2-(12/175)*L*R^2*C1^3-(1/35)*L*R^2*C2^3+(58/24255)*R^2*C1^2*C2+(18/175)*R^2*L^2*C2^3-(13/12600)*R^2*C2+(2/5)*L^2*R^2*C1-(59/525)*L*R^2*A^2*C1-(13/1050)*L*R^2*A^2*C2+(1/5)*L^2*R^2*A*C2+(2/5)*L^2*R^2*A^2*C1-(1/10)*L^2*R^2*A^2*C2)*x^2, x, x, x))+2*(diff(-2*R*((1/140)*C1^2*x^7+(1/70)*C1*C2*x^7+(1/140)*C2^2*x^7-(3/10)*C1^2*L*x^5-(1/30)*C1^2*x^6-(3/5)*C1*C2*L*x^5-(1/20)*C1*C2*x^6-(3/10)*C2^2*L*x^5-(1/60)*C2^2*x^6+(1/120)*A^2*x^5+C1^2*L*x^4+(1/20)*C1^2*x^5+(3/2)*C1*C2*L*x^4+(1/20)*C1*C2*x^5+(1/2)*C2^2*L*x^4-(1/60)*x^5*A+(1/24)*x^4*A+(1/120)*x^5-(1/24)*x^4)+(1/6)*((66/5)*C1^2*L*R+(72/5)*C1*C2*L*R+(6/5)*C2^2*L*R+(3/10)*R*A^2+(22/35)*R*C1^2+(9/35)*R*C1*C2-(13/35)*R*C2^2+(2/5)*R*A-(7/10)*R)*x^3+(1/2)*(-(8/5)*C1^2*L*R-(6/5)*C1*C2*L*R+(2/5)*C2^2*L*R-(1/15)*R*A^2-(4/35)*R*C1^2-(1/35)*R*C1*C2+(3/35)*R*C2^2-(1/30)*R*A+(1/10)*R)*x^2, x, x))*(diff(-2*R*((1/140)*C1^2*x^7+(1/70)*C1*C2*x^7+(1/140)*C2^2*x^7-(3/10)*C1^2*L*x^5-(1/30)*C1^2*x^6-(3/5)*C1*C2*L*x^5-(1/20)*C1*C2*x^6-(3/10)*C2^2*L*x^5-(1/60)*C2^2*x^6+(1/120)*A^2*x^5+C1^2*L*x^4+(1/20)*C1^2*x^5+(3/2)*C1*C2*L*x^4+(1/20)*C1*C2*x^5+(1/2)*C2^2*L*x^4-(1/60)*x^5*A+(1/24)*x^4*A+(1/120)*x^5-(1/24)*x^4)+(1/6)*((66/5)*C1^2*L*R+(72/5)*C1*C2*L*R+(6/5)*C2^2*L*R+(3/10)*R*A^2+(22/35)*R*C1^2+(9/35)*R*C1*C2-(13/35)*R*C2^2+(2/5)*R*A-(7/10)*R)*x^3+(1/2)*(-(8/5)*C1^2*L*R-(6/5)*C1*C2*L*R+(2/5)*C2^2*L*R-(1/15)*R*A^2-(4/35)*R*C1^2-(1/35)*R*C1*C2+(3/35)*R*C2^2-(1/30)*R*A+(1/10)*R)*x^2, x, x, x))+2*(diff(-(1/105)*R^2*((1/7920)*(-648*C1^3-1944*C1^2*C2-1944*C1*C2^2-648*C2^3)*x^11+(1/5040)*(3024*C1^3+7560*C1^2*C2+6048*C1*C2^2+1512*C2^3)*x^10+(1/3024)*(16632*C1^3*L+49896*C1^2*C2*L+49896*C1*C2^2*L+16632*C2^3*L+21*A^2*C1+21*A^2*C2-5376*C1^3-10752*C1^2*C2-6216*C1*C2^2-840*C2^3-42*A*C1-42*A*C2+21*C1+21*C2)*x^9+(1/1680)*(-55440*C1^3*L-138600*C1^2*C2*L-110880*C1*C2^2*L-27720*C2^3*L+70*A^2*C1+35*A^2*C2+4200*C1^3+6300*C1^2*C2+2100*C1*C2^2+70*A*C1+140*A*C2-140*C1-175*C2)*x^8+(1/840)*(-83160*C1^3*L^2-249480*C1^2*C2*L^2-249480*C1*C2^2*L^2-83160*C2^3*L^2+210*A^2*C1*L+210*A^2*C2*L+65184*C1^3*L+130872*C1^2*C2*L+75432*C1*C2^2*L+9744*C2^3*L-84*A^2*C1+126*A^2*C2-420*A*C1*L-420*A*C2*L-996*C1^3-888*C1^2*C2-48*C1*C2^2-156*C2^3+28*A*C1-112*A*C2+210*C1*L+210*C2*L+476*C1+406*C2)*x^7+(1/360)*(166320*C1^3*L^2+415800*C1^2*C2*L^2+332640*C1*C2^2*L^2+83160*C2^3*L^2+840*A^2*C1*L+420*A^2*C2*L-29232*C1^3*L-44604*C1^2*C2*L-15372*C1*C2^2*L-168*A^2*C1-105*A^2*C2+210*A*C1*L+1050*A*C2*L-336*C1^3-330*C1^2*C2+138*C1*C2^2+132*C2^3+21*A*C1-105*A*C2-1050*C1*L-1470*C2*L-693*C1-210*C2)*x^6+(1/120)*(1890*A^2*C1*L^2+1890*A^2*C2*L^2-101304*C1^3*L^2-205632*C1^2*C2*L^2-122472*C1*C2^2*L^2-18144*C2^3*L^2-966*A^2*C1*L-756*A^2*C2*L-3780*A*C1*L^2-3780*A*C2*L^2+2448*C1^3*L+2052*C1^2*C2*L+540*C1*C2^2*L+936*C2^3*L+119*A^2*C1-14*A^2*C2+252*A*C1*L-588*A*C2*L+132*C1^3+54*C1^2*C2-78*C1*C2^2+1890*C1*L^2+1890*C2*L^2-98*A*C1+98*A*C2+714*C1*L+1344*C2*L+399*C1-84*C2)*x^5)+(1/24)*(-2*L*R^2*A*C2-(1368/5)*L^2*R^2*C1^2*C2-(504/5)*L^2*R^2*C1*C2^2-(44/7)*L*R^2*C1^2*C2+(92/35)*L*R^2*C1*C2^2-(16/5)*L*R^2*A^2*C1-2*L*R^2*A^2*C2-24*L^2*R^2*A*C1-12*L^2*R^2*A*C2+12*L^2*R^2*A^2*C1+6*L^2*R^2*A^2*C2-(4/15)*R^2*A*C1+(12/5)*L*R^2*A*C1+(1/15)*R^2*A*C2+(4/5)*L*R^2*C1+4*L*R^2*C2+12*L^2*R^2*C1+6*L^2*R^2*C2-(864/5)*L^2*R^2*C1^3-(32/5)*L*R^2*C1^3+(88/35)*L*R^2*C2^3-(2/5)*R^2*C2+(3/5)*R^2*C1)*x^4+(1/6)*((157/6300)*R^2*A*C1-(446/525)*L*R^2*A*C1-(2777/242550)*R^2*C1*C2^2+(653/12600)*R^2*A^2*C1+(1783/121275)*R^2*C2^3+(1783/121275)*R^2*C1^3+(359/525)*L*R^2*A*C2+(3882/175)*L^2*R^2*C1^2*C2+(312/175)*L^2*R^2*C1*C2^2+(102/175)*L*R^2*C1^2*C2-(118/175)*L*R^2*C1*C2^2+(33/5)*L^2*R^2*A*C1-(61/1800)*R^2*C1+(13/525)*L*R^2*C1+(157/6300)*R^2*A*C2-(989/1050)*L*R^2*C2-(3/10)*L^2*R^2*C2+(3324/175)*L^2*R^2*C1^3-(61/1800)*R^2*A^2*C2+(209/175)*L*R^2*C1^3-(11/175)*L*R^2*C2^3-(2777/242550)*R^2*C1^2*C2-(246/175)*R^2*L^2*C2^3+(653/12600)*R^2*C2-(33/10)*L^2*R^2*C1+(433/525)*L*R^2*A^2*C1+(271/1050)*L*R^2*A^2*C2+(3/5)*L^2*R^2*A*C2-(33/10)*L^2*R^2*A^2*C1-(3/10)*L^2*R^2*A^2*C2)*x^3+(1/2)*((1/1575)*R^2*A*C1+(131/1050)*L*R^2*A*C1+(59/121275)*R^2*C1*C2^2-(13/1575)*R^2*A^2*C1-(314/121275)*R^2*C2^3-(83/121275)*R^2*C1^3-(19/175)*L*R^2*A*C2-(156/175)*L^2*R^2*C1^2*C2+(54/175)*L^2*R^2*C1*C2^2+(1/175)*L*R^2*C1^2*C2+(8/175)*L*R^2*C1*C2^2-(4/5)*L^2*R^2*A*C1-(17/6300)*R^2*C1-(13/1050)*L*R^2*C1-(8/1575)*R^2*A*C2+(127/1050)*L*R^2*C2-(1/10)*L^2*R^2*C2-(192/175)*L^2*R^2*C1^3+(29/4200)*R^2*A^2*C2-(12/175)*L*R^2*C1^3-(1/35)*L*R^2*C2^3+(58/24255)*R^2*C1^2*C2+(18/175)*R^2*L^2*C2^3-(13/12600)*R^2*C2+(2/5)*L^2*R^2*C1-(59/525)*L*R^2*A^2*C1-(13/1050)*L*R^2*A^2*C2+(1/5)*L^2*R^2*A*C2+(2/5)*L^2*R^2*A^2*C1-(1/10)*L^2*R^2*A^2*C2)*x^2, x, x))*(diff((1/6)*(6*C2+6*C1)*x^3+(1/2)*(-2*C2-4*C1)*x^2+C1*x, x, x, x))) = 0; Eq7 := dsolve({A1, f[3](0) = 0, f[3](1) = 0, (D(f[3]))(0) = 0, (D(f[3]))(1) = 0}, f[3](x))

 (1)

``


 

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