show that y=c e ^ (y/x) is a solution to dy/dx = (y^2) / (xy - X^2)
i need help solving this problem please. here's how i did it:
dy/dx = c e ^(y/x) (-y/(x^2) + 1/x dy/dx)
dy/dx = c e ^(y/x) (- y +x / (x^2) )
c = y/ (e ^ (y/x) )
dy/dx = (-y^2 + xy)/ (x^2)
please tell me where my mistake is and how can i fix it
thanks a lot
i need help solving this problem please. here's how i did it:
dy/dx = c e ^(y/x) (-y/(x^2) + 1/x dy/dx)
dy/dx = c e ^(y/x) (- y +x / (x^2) )
c = y/ (e ^ (y/x) )
dy/dx = (-y^2 + xy)/ (x^2)
please tell me where my mistake is and how can i fix it
thanks a lot