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Non-exact differential equation

by Ptopenny
Tags: differential, equation, nonexact
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Ptopenny
#1
Jan20-13, 12:05 AM
P: 3
the problem is (x+x^4)dy+y(y^3-x^3)dx=0
well I know that this is not a separable equation, homogenous equation or an exact equation...so i try to solve it by treating it as a non exact DE by finding out the integrating factor...but the both IF come out in term of x and y which involve 2 variables where by IF must only has one variable.....
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JJacquelin
#2
Jan20-13, 05:08 AM
P: 759
Hi !
The pattern of the ODE makes think to a change of variables : X=x^3 and Y=y^3, which leads to a Riccati ODE.
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ODE.JPG  
Ptopenny
#3
Jan27-13, 07:58 AM
P: 3
thank god...u really help me very much :D :D


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