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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

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