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

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

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

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

y = \frac{7 x ^{2}}{3} + c_{1}, y = - \frac{7 x ^{2}}{3} + c_{1}

Solution steps

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

Solve separable ODE:

y = \frac{7 x ^{2}}{3} + c_{1}, y = - \frac{7 x ^{2}}{3} + c_{1}

y = \frac{7 x ^{2}}{3} + c_{1}, y = - \frac{7 x ^{2}}{3} + c_{1}

4 x^{2} + 2 x

y = 5 x - x^{2}

\frac{d}{d x} ((x - 1) e^{x})

\frac{d}{d x} (\frac{ln ( 4 x )}{x})

\frac{d}{d x} (x e^{1})

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