`x(dy)/(dx)=y-xcos^(2)(y/x)`

The solution of differential equation (x+y(dy)/(dx))/(y-x(dy)/(dx)) = x(cos^(2)(x^(2)+y^(2))/(y^(3))) is

The solution of differential equation (x+y(dy)/(dx))/(y-x(dy)/(dx)) = x(cos^(2)(x^(2)+y^(2))/(y^(3))) is

Solution of differential equation y-x(dy)/(dx)=y^(2)+(dy)/(dx), when x=1,y=2, is

(xcos(y/x))(dy)/(dx)=(ycos(y/x))+x

Solve : (dy)/(dx)=(y(xcos""(y)/(x)+ysin""(y)/(x)))/(x(ysin""(y)/(x)-xcos""(y)/(x)))

Show that the differential equation xcos(y/x)(dy)/(dx)=ycos(y/x)+x is homogeneous and solve it.

If y=x log((x)/(a+bx)), thenx ^(3)(d^(2)y)/(dx^(2))= (a) x(dy)/(dx)-y (b) (x(dy)/(dx)-y)^(2)y(dy)/(dx)-x(d)(y(dy)/(dx)-x)^(2)

Solution of the differential equation (x+y(dy)/(dx))/(y-x(dy)/(dx))=(x sin^(2)(x^(2)+y^(2)))/(y^(3))

x(dy)/(dx)+(y^(2))/(x)=y

Solve y-x(dy)/(dx)=a(y^(2)+(dy)/(dx))