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September 30th, 2012, 01:58 PM   #1
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Non-Exact Differential equation

Hi, I have another problem that I can't solve:

y+2*y^7=(y^3+6*x)dy/dx which gives (y+2*y^7)dx+(-y^3-6*x)dy=0

The equation is not exact, so I tried to find the integrating factor: e^((My-Nx)/(-M)) wich gives x^(-7)

When I multiply both equations by x^(-7), it's still not exact. I tried many things, but I have no idea what else to try...
I need to find the solution x=(something) when the initial conditions are y(0)=1

Can someone help me please?
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September 30th, 2012, 02:28 PM   #2
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Re: Non-Exact Differential equation

Integrating factor is
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September 30th, 2012, 02:40 PM   #3
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Re: Non-Exact Differential equation

Damn of course!
Thanks a lot!
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