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These are questions asked by sunit

Replacing variable in ODE...

sunit 105 Maple
ode
May 17 2016
2 1

Hi,

It might be very silly question, but i dont know why it is not working out. So here is the question. In the attached maple shhet when i am trying to substitute eta(t)=epsilon*z(t) then it is not making that susbtitution for differential operator. Apart from that when i m collecting epsilon terms then also it not collecting it.quesiton.mw

 

Regards

Sunit

Simplifying square root term...

sunit 105 Maple
simplify
May 09 2015
1 4

Hi,

I m trying to simplify an expression involving square roots in Maple. But instead of giving the expected output it is not simplifying it. Please find the attached maple file for reference. I calculated manually and the result is 1. Please help me out for this. Thanx in advance.

Regards

Sunit

> 

restart
> 

temp := (1/2)*(a*r*t-b*p)*sqrt(p+v*sqrt(a*r))*sqrt(b)/(sqrt(a*b*r*t)*sqrt(a*r*t*(p+v*sqrt(a*r))))+(1/2)*(a*r*v*t-v*b*p+p*t*sqrt(a*r)-b*v^2*sqrt(a*r))*sqrt(b)/(sqrt(a*b*r*t*(p+v*sqrt(a*r)))*sqrt(t*(p+v*sqrt(a*r))))+(1/2)*b*(p+v*sqrt(a*r))/(a*r*t)

(1/2)*(a*r*t-b*p)*(p+v*(a*r)^(1/2))^(1/2)*b^(1/2)/((a*b*r*t)^(1/2)*(a*r*t*(p+v*(a*r)^(1/2)))^(1/2))+(1/2)*(a*r*v*t-v*b*p+p*t*(a*r)^(1/2)-b*v^2*(a*r)^(1/2))*b^(1/2)/((a*b*r*t*(p+v*(a*r)^(1/2)))^(1/2)*(t*(p+v*(a*r)^(1/2)))^(1/2))+(1/2)*b*(p+v*(a*r)^(1/2))/(a*r*t)

 (1)
> 

simplify(temp)

-(1/2)*(-(p+v*(a*r)^(1/2))^(1/2)*b^(1/2)*(a*b*r*t*(p+v*(a*r)^(1/2)))^(1/2)*(t*(p+v*(a*r)^(1/2)))^(1/2)*a^2*r^2*t^2+(p+v*(a*r)^(1/2))^(1/2)*b^(3/2)*(a*b*r*t*(p+v*(a*r)^(1/2)))^(1/2)*(t*(p+v*(a*r)^(1/2)))^(1/2)*a*r*t*p-b^(1/2)*(a*b*r*t)^(1/2)*(a*r*t*(p+v*(a*r)^(1/2)))^(1/2)*a^2*r^2*t^2*v+b^(3/2)*(a*b*r*t)^(1/2)*(a*r*t*(p+v*(a*r)^(1/2)))^(1/2)*a*r*t*v*p-b^(1/2)*(a*b*r*t)^(1/2)*(a*r*t*(p+v*(a*r)^(1/2)))^(1/2)*a*r*t^2*p*(a*r)^(1/2)+b^(3/2)*(a*b*r*t)^(1/2)*(a*r*t*(p+v*(a*r)^(1/2)))^(1/2)*a*r*t*v^2*(a*r)^(1/2)-b*(a*b*r*t)^(1/2)*(a*r*t*(p+v*(a*r)^(1/2)))^(1/2)*(a*b*r*t*(p+v*(a*r)^(1/2)))^(1/2)*(t*(p+v*(a*r)^(1/2)))^(1/2)*p-b*(a*b*r*t)^(1/2)*(a*r*t*(p+v*(a*r)^(1/2)))^(1/2)*(a*b*r*t*(p+v*(a*r)^(1/2)))^(1/2)*(t*(p+v*(a*r)^(1/2)))^(1/2)*v*(a*r)^(1/2))/((a*b*r*t)^(1/2)*(a*r*t*(p+v*(a*r)^(1/2)))^(1/2)*(a*b*r*t*(p+v*(a*r)^(1/2)))^(1/2)*(t*(p+v*(a*r)^(1/2)))^(1/2)*a*r*t)

 (2)
> 

``


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How to export an array from maple to mat...

sunit 105 Maple 16
array matlab
September 08 2014
-1 0

Hi,

I need to transfer an array of size (M,N) from maple to matlab. But i dont know how to make it. Please help me for this. Thanx in advance.

Regards

Sunit

Incorrect Integration of Bessels funcion...

sunit 105 Maple
February 13 2014
1 6

Hi,

I have a problem in which i have to integrate Bessels function of first kind of order 1 from 0 to infinity. The answer that i m getting is -1, but when i am solving it numerically then the answer is close to 1. I dont know why it is happening. Please help me out for it.

Regards

Sunit

Solving integration in terms of parame...

sunit 105
improper-integral
January 28 2014
2 8

HI,

I need to solve the following integration in terms of z. But Maple is not giving me any exiplict expression in terms of z. Please help me out for the same. Thanx in advance.

 

> 

f := BesselJ(1, t)*(z*BesselJ(0, t)*BesselJ(1, z)-t*BesselJ(0, z)*BesselJ(1, t))/((1+10*t)*(z^2-t^2))

BesselJ(1, t)*(z*BesselJ(0, t)*BesselJ(1, z)-t*BesselJ(0, z)*BesselJ(1, t))/((1+10*t)*(z^2-t^2))

 (1)
> 

int(f, t = 0 .. infinity)

int(BesselJ(1, t)*(z*BesselJ(0, t)*BesselJ(1, z)-t*BesselJ(0, z)*BesselJ(1, t))/((1+10*t)*(z^2-t^2)), t = 0 .. infinity)

 (2)
> 

``

 

Download question.mw

 

Regards

Sunit

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