What is the solution for (dh)/(dt)=-0.006sqrt(19.6h) ?

The solution for (dh)/(dt)=-0.006sqrt(19.6h) is h=0.0001764t^2-0.01328…c_{1}t+0.25c_{1}^2

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(dh)/(dt)=-0.006sqrt(19.6h)

\frac{d h}{d t} = - 0.006 19.6 h

h = 0.0001764 t^{2} - 0.01328 \dots c_{1} t + 0.25 c_{1}^{2}

Solution steps

\frac{d h}{d t} = - 0.006 19.6 h

Solve separable ODE:

h = 0.0001764 t^{2} - 0.01328 \dots c_{1} t + 0.25 c_{1}^{2}

h = 0.0001764 t^{2} - 0.01328 \dots c_{1} t + 0.25 c_{1}^{2}

What is the solution for (dh)/(dt)=-0.006sqrt(19.6h) ?
The solution for (dh)/(dt)=-0.006sqrt(19.6h) is h=0.0001764t^2-0.01328…c_{1}t+0.25c_{1}^2