First-order Nonlinear Ordinary

rhinchman

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Joined
Sep 18, 2014
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2
Ok so here is the equation:

(7 - 3xy2)*dy/dx = y3

But the answer needs to be in terms of x(y) =

Its not a separable equation or one that I could use an integrating factor for.

I have tried just about everything and sadly this is the furthest I've gotten:

dy/dx = y3/(7 - 3xy2)

y3dx = 7dy - 3xy2dy

My professor has not yet taught us any methods for solving these types of equations but the assignment is due soon. Any advice would be greatly appreciated.

Thank you!
 
Ok so here is the equation:

(7 - 3xy2)*dy/dx = y3

But the answer needs to be in terms of x(y) =

Its not a separable equation or one that I could use an integrating factor for.

I have tried just about everything and sadly this is the furthest I've gotten:

dy/dx = y3/(7 - 3xy2)

y3dx = 7dy - 3xy2dy

My professor has not yet taught us any methods for solving these types of equations but the assignment is due soon. Any advice would be greatly appreciated.

Thank you!

d/dx (y3x) = ?
 
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