What is the solution for -(dh)/(dt)=5sqrt(h) ?

The solution for -(dh)/(dt)=5sqrt(h) is h=(25t^2)/4-(5c_{1}t)/2+(c_{1}^2)/4

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-(dh)/(dt)=5sqrt(h)

- \frac{d h}{d t} = 5 h

h = \frac{25 t ^{2}}{4} - \frac{5 c _{1} t}{2} + \frac{c _{1}^{2}}{4}

Solution steps

- \frac{d h}{d t} = 5 h

Solve separable ODE:

h = \frac{25 t ^{2}}{4} - \frac{5 c _{1} t}{2} + \frac{c _{1}^{2}}{4}

h = \frac{25 t ^{2}}{4} - \frac{5 c _{1} t}{2} + \frac{c _{1}^{2}}{4}

What is the solution for -(dh)/(dt)=5sqrt(h) ?
The solution for -(dh)/(dt)=5sqrt(h) is h=(25t^2)/4-(5c_{1}t)/2+(c_{1}^2)/4