Consider `xdy/dx=y-xtan(y/x),` Solve the equation using the substitution y=vx.

Consider (1+y^2)dx=(tan^-1y-x)dy Solve the given equation.

Solve xdy/dx=x+y

Consider the equation. dy/dx+y=sinx Solve this equation.

Consider the D.E dy/dx+y/x=x^2 Solve the D.E.

Consider xdy/dx=y-xtan(y/x), Express dy/dx as a function of y/x.

Consider (1+y^2)dx=(tan^-1y-x)dy Express the equation in the form dx/dy+Px=Q

Consider xlogxdy/dx+y=2/xlogx , x>0 Solve the differential equation.

A homogeneous differential equation of the form (dx)/(dy) = h(x/y) can be solved by making the substitution. a) y= vx b)v= yx c)x = vy d)x = v

Consider the DE dy/dx=(y^3+3x^2y)/(x^3+3xy^2) Solve the DE.

Consider the differential equation dy/dx=(x+y)/x Solve the above given differential equation.