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Question: Need to Solve Nonlinear ODE

Question:Need to Solve Nonlinear ODE

Tamour_Zubair 80 Maple 2021
ode dsolve nonlinear explicit differential-equations
August 28 2023
0

Hello Everyone;

I need to solve the following nonlinear ODE

C*diff(y(x), x) + (-B0*y(x)^3 - B1*y(x)^2 - B2*y(x) - B3) = 0, y(0)=B4

where B0,B1,B2,B3 and B4 are constants. I am trying in Maple 2021, but receiving solution in the form of integral. Is that any other ways that I will be able exact solution. Maple sheet is atatched. I am waiting for your kind respose.

Thanks

Question1.mw

> 

restart
 
> 

infolevel[dsolve] := 4

4

 (1)
> 

ode22 := C*(diff(y(x), x))-B0*y(x)^3-B1*y(x)^2-B2*y(x)-B3 = 0

C*(diff(y(x), x))-B0*y(x)^3-B1*y(x)^2-B2*y(x)-B3 = 0

 (2)
> 

solll := dsolve(ode22, implicit, useInt)

Methods for first order ODEs:

  

--- Trying classification methods ---

  

trying a quadrature

  

trying 1st order linear

  

trying Bernoulli

  

trying separable

  

<- separable successful

  

x-Intat(C/(B0*_a^3+B1*_a^2+B2*_a+B3), _a = y(x))+_C1 = 0

 (3)
> 

ode[257] := C*(diff(y(x), x))-B0*y(x)^3-B1*y(x)^2-B2*y(x)-B3 = 0

C*(diff(y(x), x))-B0*y(x)^3-B1*y(x)^2-B2*y(x)-B3 = 0

 (4)
> 

dsolve(ode[257], implicit)

Methods for first order ODEs:

  

--- Trying classification methods ---

  

trying a quadrature

  

trying 1st order linear

  

trying Bernoulli

  

trying separable

  

<- separable successful

  

x-Intat(C/(B0*_a^3+B1*_a^2+B2*_a+B3), _a = y(x))+_C1 = 0

 (5)
> 

NULL

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