What is the solution for (dP)/(dt)=Psqrt(t),P(1)=2 ?

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

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(dP)/(dt)=Psqrt(t),P(1)=2

\frac{d P}{d t} = P t, P (1) = 2

P = 2 e^{\frac{2 t ^{\frac{3}{2}} - 2}{3}}

Solution steps

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

Solve separable ODE:

P = 2 e^{\frac{2 t ^{\frac{3}{2}} - 2}{3}}

P = 2 e^{\frac{2 t ^{\frac{3}{2}} - 2}{3}}

\frac{d ^{2}}{d x ^{2}} ((- 5 x + 6)^{5})

t \cdot y^{^{'}} + y = 2 t

y^{^{''}} + y^{^{'}} + 3 y = 0

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

f (x) = (2 x^{2} - x + 1) \cdot (x^{2} + 2 x + 3)

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