What is the solution for (dP)/(dt)=Psqrt(t) ?

The solution for (dP)/(dt)=Psqrt(t) is P=e^{2/3 t^{3/2}+c_{1}}

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(dP)/(dt)=Psqrt(t)

\frac{d P}{d t} = P t

P = e^{\frac{2}{3} t^{\frac{3}{2}} + c_{1}}

Solution steps

\frac{d P}{d t} = P t

Solve separable ODE:

P = e^{\frac{2}{3} t^{\frac{3}{2}} + c_{1}}

P = e^{\frac{2}{3} t^{\frac{3}{2}} + c_{1}}

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What is the solution for (dP)/(dt)=Psqrt(t) ?
The solution for (dP)/(dt)=Psqrt(t) is P=e^{2/3 t^{3/2}+c_{1}}