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Question: How to Solve this Differential Equation

Question:How to Solve this Differential Equation

loombashally 0 Maple
diff
December 14 2010
0

I am unable to solve the following differential equation for u(t). I right-click and select Solve DE but it gives me an incomprehensible solution. Kindly tell me how what to do:

 

diff(u(t)^2, t, t)+`&x`(`&x`(alpha, u(t)), diff(u(t), t))+`&x`(beta, u(t)^3) = 0

 

The same equation in "String" notation:

"2*diff(u(t),t)^2+2*u(t)*diff(diff(u(t),t),t)+alpha*u(t)*diff(u(t),t)+beta*u(t)^3 = 0"

 

The same equation in D notation:

2*(D(u))(t)^2+2*u(t)*((D@@2)(u))(t)+alpha*u(t)*(D(u))(t)+beta*u(t)^3 = 0

 

 

Thank you.

Shally Loomba
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