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Popular >

(dp)/(dt)=k(600-p)

Solution

\frac{d p}{d t} = k (600 - p)

Solution

p = - e^{- k t - c_{1}} + 600

Solution steps

\frac{d p}{d t} = k (600 - p)

Solve separable ODE:

p = - e^{- k t - c_{1}} + 600

p = - e^{- k t - c_{1}} + 600

Graph

Popular Examples

(dy)/(dx)y=(2x-9)/(5-3x)

\frac{d y}{d x} y = \frac{2 x - 9}{5 - 3 x}

(dv)/(dt)=0.075*v-9000

\frac{d v}{d t} = 0.075 \cdot v - 9000

x^'=-100x,x(0)=1

x^{^{'}} = - 100 x, x (0) = 1

(dy)/(dx)=3\sqrt[3]{y^2},y(0)=0

\frac{d y}{d x} = 3 3 y^{2}, y (0) = 0

(dy)/(dx)=yx-x+y-1

\frac{d y}{d x} = y x - x + y - 1

Frequently Asked Questions (FAQ)

What is the solution for (dp)/(dt)=k(600-p) ?
The solution for (dp)/(dt)=k(600-p) is p=-e^{-kt-c_{1}}+600