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Popular >

(dN)/(dt)=5-N,N(2)=2

Solution

\frac{d N}{d t} = 5 - N, N (2) = 2

Solution

N = - 3 e^{- t + 2} + 5

Solution steps

\frac{d N}{d t} = 5 - N

Solve separable ODE:

N = - 3 e^{- t + 2} + 5

N = - 3 e^{- t + 2} + 5

Popular Examples

integral of ((e^x-e^{-x})/2)

\int (\frac{e ^{x} - e ^{- x}}{2}) d x

integral of (1/(e^x+e^{2x)})/(-e^{-3x)}

\int \frac{\frac{1}{e ^{x} + e ^{2 x}}}{- e ^{- 3 x}} d x

limit as x approaches 2-of (x-1)/(|x-1|)

x \to 2 - lim (\frac{x - 1}{∣ x - 1 ∣})

derivative of 3x^3y^2

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

(dy)/(dx)=(2x+sec^2(x))/(4y)

\frac{d y}{d x} = \frac{2 x + sec ^{2} ( x )}{4 y}

Frequently Asked Questions (FAQ)

What is the solution for (dN)/(dt)=5-N,N(2)=2 ?
The solution for (dN)/(dt)=5-N,N(2)=2 is N=-3e^{-t+2}+5