What is the solution for (dh)/(dt)=0.3(5-h) ?

The solution for (dh)/(dt)=0.3(5-h) is h=-e^{-(3t)/(10)-c_{1}}+5

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(dh)/(dt)=0.3(5-h)

\frac{d h}{d t} = 0.3 (5 - h)

h = - e^{- \frac{3 t}{10} - c_{1}} + 5

Solution steps

\frac{d h}{d t} = 0.3 (5 - h)

Solve separable ODE:

h = - e^{- \frac{3 t}{10} - c_{1}} + 5

h = - e^{- \frac{3 t}{10} - c_{1}} + 5

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What is the solution for (dh)/(dt)=0.3(5-h) ?
The solution for (dh)/(dt)=0.3(5-h) is h=-e^{-(3t)/(10)-c_{1}}+5