General Solution - Homogeneous

Oct 2009
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0
Could someone tell me which method you would use to find the general solution of:

x^2(dy/dx) = y^2 + 3xy + x^2
 

mr fantastic

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Could someone tell me which method you would use to find the general solution of:

x^2(dy/dx) = y^2 + 3xy + x^2
Divide both sides by x^2. Now make the substitution y = xv. Note that y = xv => dy/dx = v + x dv/dx.

Solve for v and hence y.

This technique will be in your class notes or textbook.