What is the solution for (dy)/(dx)=(7x^2)/(y^3) ?

The solution for (dy)/(dx)=(7x^2)/(y^3) is y=\sqrt[4]{(28x^3)/3+c_{1}},y=-\sqrt[4]{(28x^3)/3+c_{1}}

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(dy)/(dx)=(7x^2)/(y^3)

\frac{d y}{d x} = \frac{7 x ^{2}}{y ^{3}}

Solution steps

\frac{d y}{d x} = \frac{7 x ^{2}}{y ^{3}}

Solve separable ODE:

2 \frac{d y}{d t} + 2 y = 3

\frac{d V}{d t} = 10 - \frac{2 V}{100}

\frac{d y}{d x} = 3 x^{2} y^{3}

3 y^{4} - 1 + 12 x y^{3} \frac{d y}{d x} = 0

y^{^{'}} - 10 y^{^{'}} + 25 y = 0

What is the solution for (dy)/(dx)=(7x^2)/(y^3) ?
The solution for (dy)/(dx)=(7x^2)/(y^3) is y=\sqrt[4]{(28x^3)/3+c_{1}},y=-\sqrt[4]{(28x^3)/3+c_{1}}