What is the solution for (dy)/(dx)=-5sqrt(y) ?

The solution for (dy)/(dx)=-5sqrt(y) is y=(25x^2)/4-(5c_{1}x)/2+(c_{1}^2)/4

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(dy)/(dx)=-5sqrt(y)

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

y = \frac{25 x ^{2}}{4} - \frac{5 c _{1} x}{2} + \frac{c _{1}^{2}}{4}

Solution steps

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

Solve separable ODE:

y = \frac{25 x ^{2}}{4} - \frac{5 c _{1} x}{2} + \frac{c _{1}^{2}}{4}

y = \frac{25 x ^{2}}{4} - \frac{5 c _{1} x}{2} + \frac{c _{1}^{2}}{4}

What is the solution for (dy)/(dx)=-5sqrt(y) ?
The solution for (dy)/(dx)=-5sqrt(y) is y=(25x^2)/4-(5c_{1}x)/2+(c_{1}^2)/4