What is the solution for (dy)/(dx)=(x^2-7)/(15y^2) ?

The solution for (dy)/(dx)=(x^2-7)/(15y^2) is y=\sqrt[3]{(x^3}{15}-\frac{7x)/5+c_{1}}

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(dy)/(dx)=(x^2-7)/(15y^2)

\frac{d y}{d x} = \frac{x ^{2} - 7}{15 y ^{2}}

Solution steps

\frac{d y}{d x} = \frac{x ^{2} - 7}{15 y ^{2}}

Solve separable ODE:

\frac{d}{d x} (3 x^{2} + 4 x - 1)

\int \frac{2 + 2 x}{- x ^{2} - 2 x + 1} d x

\frac{1}{( s ^{2} + 2 s + 2 ) s}

\frac{d y}{d t} = 6 - \frac{1}{100} y

k = 1 \sum \infty \frac{1}{k}

What is the solution for (dy)/(dx)=(x^2-7)/(15y^2) ?
The solution for (dy)/(dx)=(x^2-7)/(15y^2) is y=\sqrt[3]{(x^3}{15}-\frac{7x)/5+c_{1}}