`(dy/dx)^2+x dy/dx-y=0`

Solve: x(dy/dx)^2+(y-x)dy/dx-y=0

x^2(dy/dx)^2-2xy dy/dx+2y^2-x^2=0

Solve the following differential x^2(dy/dx)^2-2xy dy/dx+2y^2-x^2=0

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

Find order & degree of equation xy ((d^2y)/dx^2)+x(dy/dx)^2-y(dy/dx)=0 ,

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

If y="sin"(logx), then prove that (x^2d^2y)/(dx^2)+x(dy)/(dx)+y=0

Which of the following differential equations has y = x as one of its particular solution? (A) (d^2y)/(dx^2)-x^2(dy)/(dx)+x y=x (B) (d^2y)/(dx^2)+x(dy)/(dx)+x y=x (C) (d^2y)/(dx^2)-x^2(dy)/(dx)+x y=0 (D) (d^2y)/(dx^2)+x(dy)/(dx)+x y=0

General solution of differential equation x^(2)(x+y(dy)/(dx))+(x(dy)/(dx)-y)sqrt(x^(2)+y^(2))=0 is

If y=sin(logx) , prove that x^2(d^2y)/(dx^2)+x(dy)/(dx)+y=0 .