## How to divide the step size...

Dear sir,

In the given problem, eta = 0 to 20, I want the table value of eta for a step size of 1000 (0 to 20 in thousand parts).

i have calculated only for one value, zero

## Weakness of the solve command

by: Maple 2018

Consider the equation  (2^x)*(27^(1/x)) = 24  for which we need to find the exact values ​​of its real roots. This is not difficult to solve by hand if you first take the logarithm of this equation to any base, after which the problem is reduced to solving a quadratic equation. But the  solve  command fails to solve this equation and returns the result in RootOf form. The problem is solved if we first ask Maple to take the logarithm of the equation. I wonder if the latest versions of Maple also do not directly address the problem?

```restart;
Eq:=2^x*27^(1/x)=24:
solve(Eq, x, explicit);

map(ln, Eq); # Taking the logarithm of the equation
solve(%, x);
simplify({%}); # The final result
```

## Animation of the plots...

How to get the animation graphs for eta =0..10

 >
 >
 >
 >
 >
 >
 >
 >
 >
 >
 >
 >
 >
 >
 > with(plots):   cols := [red, blue,green, black]:  plotA:= display   ( [ seq       ( odeplot         ( Ans[k],[eta,D(f)(eta)],           eta=0..10,           color=cols[k]         ),         k=1..numelems(KrVals)       )     ],     'axes'= 'boxed',labels=[eta,'f(eta)']   );
 > with(plots):   cols := [red, blue, green,black]: plotC:= display( [ seq( odeplot         ( Ans[k],[eta,Theta(eta)],           eta=0..10,           color=cols[k]         ),         k=1..numelems(KrVals)       )     ],     'axes'= 'boxed',labels=[eta,'Theta(eta)']   );
 >

 >

i need like this demo plot

## Two phase problem error in ode...

I want like this plots here two phase are there boundary is -2 to0 and 0 to 2

f(±2)=0,g(±2)=0,f(0)=1,h(±2)=1,H(±2)=1

## Simplifying an expression with square roots...

Is it possible to simplify the following relatively simple expression  (10*(5+sqrt(41)))/(sqrt(70+10*sqrt(41))*sqrt(130+10*sqrt(41)))  using 1-2 standard commands  simplify , combine, radnormal  and so on?   I was unable to do this in Maple 2018. Maybe newer versions of Maple will be able to handle this. I managed to simplify it in 3 steps:

```expr:=(10*(5+sqrt(41)))/(sqrt(70+10*sqrt(41))*sqrt(130+10*sqrt(41)));
sqrt(simplify(expr^2));```

## exact solution of ODE...

exact_solution_error.mw

P1=(D1*ga+C1)/(1+ga) and P2= (D1-C1)/(1+ga), How to substitute in the solution of U_exact and Theta_exact

## Apply Keller Box method for ODE...

Dear sir ,

I have implemented Dsolve method the code was executed, but i need to apply Kellor Box method to solve the ODES

Please can any one help how to implement?

because there is no post regarding the Kellor box method.

 >
 >
 >
 >
 >
 >
 >
 >
 > with(plots):  cols := [red, blue, black,green]:  plotA:= display   ( [ seq       ( odeplot         ( Ans[k],[eta,(f(eta))],           eta=0..1,           color=cols[k]         ),         k=1..numelems(KpVals)       )     ],linestyle = "solid",     'axes'= 'boxed',labels=[eta,'f(eta)'],labelfont=[TIMES,BOLD,16]   );
 > with(plots):   cols := [red, blue, black,green]: plotB:= display( [ seq( odeplot         ( Ans[k],[eta,Theta(eta)],           eta=0..1,           color=cols[k]         ),         k=1..numelems(KpVals)       )     ],linestyle = "solid",     'axes'= 'boxed',labels=[eta,'Phi(eta)'],labelfont=[TIMES,BOLD,16]   );
 > with(plots):   cols := [red, blue, black,green]: plotC:= display( [ seq( odeplot         ( Ans[k],[eta,Phi(eta)],           eta=0..1,           color=cols[k]         ),         k=1..numelems(KpVals)       )     ],linestyle = "solid",     'axes'= 'boxed',labels=[eta,'Phi(eta)'],labelfont=[TIMES,BOLD,16]   );
 > with(plots):  cols := [red, blue, black,green]:  plotA:= display   ( [ seq       ( odeplot         ( Ans[k],[eta,(diff(f(eta),eta))],           eta=0..1,           color=cols[k]         ),         k=1..numelems(KpVals)       )     ],linestyle = "solid",     'axes'= 'boxed',labels=[eta,"f '(eta)"],labelfont=[TIMES,BOLD,16]   );
 >
 >

## How to solve this Eq. by Maple?...

Hi,
I have a problem and I haven't been able to solve it yet. I want to solve an ordinary diffrential equation similar to
(dphi/dxi)^2+2*V(phi)=0
and plot phi versus xi for a the following conditions:
1) V(phi)=dphi/dxi=0 at (phi=0,phi_m) and
2) dV(phi)/dphi=0 at phi=phi_m and
3) d^2V(phi)/dphi^2=0 at both phi=0 and phi=phi_m.
How can I do this by Maple?(see the attached file)
w1.mw

## Bug in the solve command...

If we solve the equation  x^x=1/sqrt(2)  in Maple 2018.2, then Maple returns only one solution  x=1/2 , although this equation has 2 solutions  x=1/2  or  x=1/4 . This can be seen if you plot graphs or , for example, solve by the  Student:-Calculus1:-Roots  command. In this case, the root  x=1/4   is returned only as a numerical approximation. I wonder if this bug has been fixed in the latest versions of Maple?

```restart;
solve(x^x=1/sqrt(2));
Student:-Calculus1:-Roots(x^x=1/sqrt(2));
```

## plot error in 3d plots ...

Dear sir, there is something missing why it is not able to evaluate?

By reference of some posts I have implemented to my ODE but not getting the graph.

what is the mistake in both files?

## Ode equations solution ...

How to solve this type of ode in maple

need the value of S, Q, E

## How can I express a time series forecast as a tabl...

Good day.

I am working on a time series problem that uses 107 data sets (historic) and I wish to obtain a forecast for the next successive 12 events. I have obtained the time series plot for the predicted values and the associated dates separately (see attached), however - I am looking to get the solution in a more user-friendly format and was hoping someone could help me out.

Can someone tell me how to

1. Express the data values only as whole number values (decimal-free)

2. Construct a table of data values and dates for the average forecast as well as the 2nd and 98th percentile forecasts?

MaplePrimes_TS_Example.mw

## Using Maple to measure maps, etc....

I'd like to use Maple to make measurements on a map (Dealey Plaza). I can load an image in Sketcher and draw lines on it, but can't figure out how to access the lengths of those lines.

 >
 >
 (1)
 >
 >
 >

 >
 >