What is the solution for (dP)/(dt)=4sqrt(Pt) ?

The solution for (dP)/(dt)=4sqrt(Pt) is P=(16t^3)/9+(4c_{1}t^{3/2})/3+(c_{1}^2)/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dP)/(dt)=4sqrt(Pt)

\frac{d P}{d t} = 4 Pt

P = \frac{16 t ^{3}}{9} + \frac{4 c _{1} t ^{\frac{3}{2}}}{3} + \frac{c _{1}^{2}}{4}

Solution steps

\frac{d P}{d t} = 4 Pt

Solve separable ODE:

P = \frac{16 t ^{3}}{9} + \frac{4 c _{1} t ^{\frac{3}{2}}}{3} + \frac{c _{1}^{2}}{4}

P = \frac{16 t ^{3}}{9} + \frac{4 c _{1} t ^{\frac{3}{2}}}{3} + \frac{c _{1}^{2}}{4}

\frac{d}{d x} (e^{s i n (x)} \cdot cos (x))

\int x y x^{2} + y^{2} d y

y = x + \frac{2}{x}

\int_{0}^{4} \frac{x}{2 x + 1} d x

What is the solution for (dP)/(dt)=4sqrt(Pt) ?
The solution for (dP)/(dt)=4sqrt(Pt) is P=(16t^3)/9+(4c_{1}t^{3/2})/3+(c_{1}^2)/4