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Popular >

(dP)/(dt)=kP(t)

Solution

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

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

(dy)/(dx)=-10x^3e^y

\frac{d y}{d x} = - 10 x^{3} e^{y}

(dx)/(dt)=0.075x-9000

\frac{d x}{d t} = 0.075 x - 9000

(1 + x) y^{^{'}} + y = 0

(dy)/(dx)=(-3x+3xy^2)/(yx^2+2y)

\frac{d y}{d x} = \frac{- 3 x + 3 x y ^{2}}{y x ^{2} + 2 y}

(dy)/(dx)=xy+x-2y-2

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

Frequently Asked Questions (FAQ)

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