What is the solution for x^2(dy)/(dx)-x=1+y+xy ?

The solution for x^2(dy)/(dx)-x=1+y+xy is y=e^{-1/x+c_{1}}x-1

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x^2(dy)/(dx)-x=1+y+xy

x^{2} \frac{d y}{d x} - x = 1 + y + x y

y = e^{- \frac{1}{x} + c_{1}} x - 1

Solution steps

x^{2} \frac{d y}{d x} - x = 1 + y + x y

Solve separable ODE:

y = e^{- \frac{1}{x} + c_{1}} x - 1

y = e^{- \frac{1}{x} + c_{1}} x - 1

f (x) = 12 x

\int e^{x^{2}} 2 x d x

\frac{1}{1 - x}, 9

\frac{d}{d x} (16 sin (x))

y^{^{''}} + 13 y^{^{'}} + 26 y = 5446 e^{2 t} cos (14 t)

What is the solution for x^2(dy)/(dx)-x=1+y+xy ?
The solution for x^2(dy)/(dx)-x=1+y+xy is y=e^{-1/x+c_{1}}x-1