What is the solution for (dP)/(dt)=sqrt(Pt) ?

The solution for (dP)/(dt)=sqrt(Pt) is P=(t^3)/9+(c_{1}t^{3/2})/3+(c_{1}^2)/4

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(dP)/(dt)=sqrt(Pt)

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

P = \frac{t ^{3}}{9} + \frac{c _{1} t ^{\frac{3}{2}}}{3} + \frac{c _{1}^{2}}{4}

Solution steps

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

Solve separable ODE:

P = \frac{t ^{3}}{9} + \frac{c _{1} t ^{\frac{3}{2}}}{3} + \frac{c _{1}^{2}}{4}

P = \frac{t ^{3}}{9} + \frac{c _{1} t ^{\frac{3}{2}}}{3} + \frac{c _{1}^{2}}{4}

\frac{d}{d x} (3 cos (5 x))

(x + 1)^{^{'}}

\frac{d}{d x} (\frac{6 x}{1 - cot ( x )})

x \to + 0 lim (\frac{e ^{x} - 1}{2 x})

x \to 0 lim (x (11 + \frac{7}{x}))

What is the solution for (dP)/(dt)=sqrt(Pt) ?
The solution for (dP)/(dt)=sqrt(Pt) is P=(t^3)/9+(c_{1}t^{3/2})/3+(c_{1}^2)/4