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Question: Verifying Exact Solutions of a Nonlinear ODE

Question:Verifying Exact Solutions of a Nonlinear ODE

salim-barzani 1395 Maple 2024
ode radical differential-equations user-error odetest
May 02 2025
1

Substituting the solutions into the ODE doesn't yield zero, despite the code appearing correct—suggesting either complexity, symbolic limits, or an implementation issue.

 

 

17-ode.mw

 

also in this ode why solution is like this how i can fixed this too

> 

restart
> 

with(PDEtools)
> 

with(LinearAlgebra)
> 

with(Physics)
> 

with(SolveTools)
> 

undeclare(prime)

`There is no more prime differentiation variable; all derivatives will be displayed as indexed functions`

 (1)
> 

ode := diff(G(xi), xi) = sqrt(C*G(xi)^4+B*G(xi)^2+A)

diff(G(xi), xi) = (C*G(xi)^4+B*G(xi)^2+A)^(1/2)

 (2)
> 

dsolve(ode, G(xi))

xi-Intat(1/(C*_a^4+B*_a^2+A)^(1/2), _a = G(xi))+c__1 = 0

 (3)
 

NULL

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