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

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

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

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

Solution steps

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

Solve separable ODE:

t + t^{3}

\frac{d y}{d x} = 8 - 4 y

\int \frac{e ^{2 x}}{3 x} d x

\frac{d}{d x} (x^{3} - 4 x + 7)

x \to 1 lim (x^{2} + x - 2)

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