J jpquinn91 Oct 2009 48 0 May 21, 2010 #1 Could someone tell me which method you would use to find the general solution of: x^2(dy/dx) = y^2 + 3xy + x^2

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 MHF Hall of Fame Dec 2007 16,948 6,768 Zeitgeist May 21, 2010 #2 jpquinn91 said: Could someone tell me which method you would use to find the general solution of: x^2(dy/dx) = y^2 + 3xy + x^2 Click to expand... 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.

jpquinn91 said: Could someone tell me which method you would use to find the general solution of: x^2(dy/dx) = y^2 + 3xy + x^2 Click to expand... 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.