What is the solution for y^'+xy=xy^{-1} ?

The solution for y^'+xy=xy^{-1} is y=sqrt(-e^{-x^2-c_{1)}+1},y=-sqrt(-e^{-x^2-c_{1)}+1}

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y^'+xy=xy^{-1}

y^{^{'}} + x y = x y^{- 1}

y = - e^{- x^{2} - c_{1}} + 1, y = - - e^{- x^{2} - c_{1}} + 1

Solution steps

y^{'} (x) + x y = x y^{- 1}

Solve separable ODE:

y = - e^{- x^{2} - c_{1}} + 1, y = - - e^{- x^{2} - c_{1}} + 1

y = - e^{- x^{2} - c_{1}} + 1, y = - - e^{- x^{2} - c_{1}} + 1

What is the solution for y^'+xy=xy^{-1} ?
The solution for y^'+xy=xy^{-1} is y=sqrt(-e^{-x^2-c_{1)}+1},y=-sqrt(-e^{-x^2-c_{1)}+1}