What is the solution for (dy)/(dx)=(5x)/(2y) ?

The solution for (dy)/(dx)=(5x)/(2y) is y=sqrt((5x^2)/2+c_{1)},y=-sqrt((5x^2)/2+c_{1)}

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(dy)/(dx)=(5x)/(2y)

\frac{d y}{d x} = \frac{5 x}{2 y}

y = \frac{5 x ^{2}}{2} + c_{1}, y = - \frac{5 x ^{2}}{2} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{5 x}{2 y}

Solve separable ODE:

y = \frac{5 x ^{2}}{2} + c_{1}, y = - \frac{5 x ^{2}}{2} + c_{1}

y = \frac{5 x ^{2}}{2} + c_{1}, y = - \frac{5 x ^{2}}{2} + c_{1}

y = x^{- 3}, 1 \leq x \leq 6

\int_{- 2}^{2} x^{2} - 2 d x

\int ln (3 - x) d x

\int_{1}^{2} \frac{x - 1}{2 x} d x

\frac{\partial}{\partial y} (sin (\frac{5 x}{y}))

What is the solution for (dy)/(dx)=(5x)/(2y) ?
The solution for (dy)/(dx)=(5x)/(2y) is y=sqrt((5x^2)/2+c_{1)},y=-sqrt((5x^2)/2+c_{1)}