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Question: Problem in differential equation?

Question:Problem in differential equation?

delvin 60 Maple 2024
ode dsolve differential-equations
20 hours ago
0

Hi,

I want to solve the equation shown in the image, along with its given conditions, using Maple and obtain the same results as in the image, but it does not work. Could you please help me?

NULL

> 

restart:
interface(showassumed = 0):


df := diff(w(xi), xi) = rho + eta*w(xi)^2:

 
> 

# Condition (1): rho * eta>0,
assume(rho * eta>0);

w1 := dsolve([df, w(0)=0]);

w(xi) = tan(xi*(rho*eta)^(1/2))*(rho*eta)^(1/2)/eta

 (1)
 

 

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