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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

\int_{1}^{2} \frac{( 8 - x ^{2} )}{x ^{3}} d x

x \to 0 lim (\frac{\frac{2}{x + 2} - 1}{x})

e^{t^{2}} y^{^{'}} + t + t y^{2} = 0

x \to 0 + lim (5 x^{2} ln (x))

f (x) = 4 x^{4}

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