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

let y(x) satisfying the differential equation x(dy)/(dx)+2y=x^(2) given y(1)=1 then y(x)=

Solve the following initial value problems : x(dy)/(dx)+2y=x^(2),y(1)=1/4

If y(x) is solution of x(dy)/(dx)+2y=x^(2),y(1)=1 then value of y((1)/(2))=

If y=y(x) is the solution of the differential equation x(dy)/(dx)+2y=x^(2) satisfying y(1)=1 , then y(1/2) is equal to (7k)/16 . The value of k is___________________.

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

solve x(dy)/(dx)-y=sqrt(x^(2)+y^(2))

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

Solve the following differential equations: x(dy)/(dx)-y=sqrt(x^2+y^2) , x>0

The solution of the differential equation x(dy)/(dx)=-(y)/(2)-(sin2x)/(2y) is given by

Show that the differential equation is x(dy)/(dx)-y=sqrt(x^(2)+y^(2)) , is homogenous and solve it.