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

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

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

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

y = e^{\frac{x ^{2}}{2} + c_{1}} + 1

Solution steps

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

Solve separable ODE:

y = e^{\frac{x ^{2}}{2} + c_{1}} + 1

y = e^{\frac{x ^{2}}{2} + c_{1}} + 1

\frac{y ^{^{'}} - e ^{- t} + 4}{y} = - 4, y (0) = 3

o f (o, y) y = \frac{π}{2}, (π, \frac{π}{2})

\frac{d}{d x} (arcsec (x^{2} + 1))

x \to \infty lim (3 x^{3} (e^{- \frac{2}{x ^{3}}} - 1))

\int π x cos (2 x) d x

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