What is the solution for (dy)/(dx)=(10x)/(3y) ?

The solution for (dy)/(dx)=(10x)/(3y) is y=sqrt((10x^2)/3+c_{1)},y=-sqrt((10x^2)/3+c_{1)}

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(dy)/(dx)=(10x)/(3y)

\frac{d y}{d x} = \frac{10 x}{3 y}

y = \frac{10 x ^{2}}{3} + c_{1}, y = - \frac{10 x ^{2}}{3} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{10 x}{3 y}

Solve separable ODE:

y = \frac{10 x ^{2}}{3} + c_{1}, y = - \frac{10 x ^{2}}{3} + c_{1}

y = \frac{10 x ^{2}}{3} + c_{1}, y = - \frac{10 x ^{2}}{3} + c_{1}

\int x^{3} e^{- x} d x

\frac{d}{d x} (\frac{1}{ln ( x + 1 )} - \frac{1}{ln ( x + 3 )})

x \to 0 lim (x \cdot csc (x))

x \to 0 lim (5 x - 2)

\frac{d}{d x} (ln (x^{4} + cot (3 x)))

What is the solution for (dy)/(dx)=(10x)/(3y) ?
The solution for (dy)/(dx)=(10x)/(3y) is y=sqrt((10x^2)/3+c_{1)},y=-sqrt((10x^2)/3+c_{1)}