10*(dy)/(dx)+(x-2y)/(2x-y)=0

Solve y((dy)/(dx))^2+2x(dy)/(dx)-y=0 given that y(0)=sqrt(5)

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

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

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

Solve y((dy)/(dx))^(2)+2x(dy)/(dx)-y=0 given that y(0)=sqrt(5)

Solve the following differential equations (i) (1+y^(2))dx = (tan^(-1)y - x)dy (ii) (x+2y^(3))(dy)/(dx) = y (x-(1)/(y))(dy)/(dx) + y^(2) = 0 (iv) (dy)/(dx)(x^(2)y^(3)+xy) = 1

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

Solve (x+y(dy)/(dx))/(y-x(dy)/(dx))=x^2+2y^2+(y^4)/(x^2)