en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

(dP)/(dt)=kP

Solution

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

Solution

P = e^{k t + c_{1}}

Solution steps

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

Solve separable ODE:

P = e^{k t + c_{1}}

P = e^{k t + c_{1}}

Graph

Popular Examples

f (x) = 4 tan (x)

limit as x approaches 0+of 7sin(x)ln(x)

x \to 0 + lim (7 sin (x) ln (x))

expand 8/((1-x)^2)

e x p an d \frac{8}{( 1 - x ) ^{2}}

integral of (3(x+2))/((x+7)^4)

\int \frac{3 ( x + 2 )}{( x + 7 ) ^{4}} d x

derivative of cos^2(pix)

\frac{d}{d x} (cos^{2} (π x))

Frequently Asked Questions (FAQ)

What is the solution for (dP)/(dt)=kP ?
The solution for (dP)/(dt)=kP is P=e^{kt+c_{1}}