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

The solution for (dy)/(dx)-2/x y=x^2-1 is y=x^3+x+c_{1}x^2

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

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

y = x^{3} + x + c_{1} x^{2}

Solution steps

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

Solve linear ODE:

y = x^{3} + x + c_{1} x^{2}

y = x^{3} + x + c_{1} x^{2}

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What is the solution for (dy)/(dx)-2/x y=x^2-1 ?
The solution for (dy)/(dx)-2/x y=x^2-1 is y=x^3+x+c_{1}x^2