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

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

Find the order and degree of the following differential equations. i) (dy)/(dx)+y=1/((dy)/(dx)) , ii) e^(e^(3)y)/(dx^(3))-x(d^(2)y)/(dx^(2))+y=0 , iii) sin^(-1)(dy)/(dx)=x+y , iv) log_(e)(dy)/(dx)=ax+by v) y(d^(2)y)/(dx^(2))+x((dy)/(dx))^(2)-4y(dy)/(dx)=0

Find the order and degree, if defined, of each of the following differential equations:(i) (dy)/(dx)-cosx=0 (ii) x y(d^2y)/(dx^2)+x((dy)/(dx))^2-y(dy)/(dx)=0 (iii) y^(primeprimeprime)+y^2+e^(y^prime)=0

Verify that y=c x+2c^2 is a solution of the differential equation 2((dy)/(dx))^2+x(dy)/(dx)-y=0.

Verify that y=c x+2c^2 is a solution of the differential equation 2((dy)/(dx))^2+x(dy)/(dx)-y=0.

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

x+y(dy/dx)=2y

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

If y=x^x prove that (d^2y)/(dx^2)-1/(y)(dy/dx)^2-y/x=0

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