What is the solution for (dy)/(dx)=(y+1)/(x^3) ?

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

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(dy)/(dx)=(y+1)/(x^3)

\frac{d y}{d x} = \frac{y + 1}{x ^{3}}

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

Solution steps

\frac{d y}{d x} = \frac{y + 1}{x ^{3}}

Solve separable ODE:

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

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

n = 1 \sum \infty \frac{( 3 x ) ^{n}}{n}

\int x - x d x

\int \frac{5 x}{cos ^{2} ( x ^{2} )} d x

\int 21 d x

\frac{d ^{2} y}{d x ^{2}} = - 49 y

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