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Popular >

(dN)/(dt)=5-N

Solution

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

Solution

N = - e^{- t - c_{1}} + 5

Solution steps

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

Solve separable ODE:

N = - e^{- t - c_{1}} + 5

N = - e^{- t - c_{1}} + 5

Popular Examples

derivative of (2x+x^2)/((1+x)^2)derivative of

\frac{2 x + x ^{2}}{( 1 + x ) ^{2}}

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

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

(9+x)(dy)/(dx)=6+x

(9 + x) \frac{d y}{d x} = 6 + x

derivative of (xy/2)

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

(\partial)/(\partial y)(-20xy^2+6x)

\frac{\partial}{\partial y} (- 20 x y^{2} + 6 x)

Frequently Asked Questions (FAQ)

What is the solution for (dN)/(dt)=5-N ?
The solution for (dN)/(dt)=5-N is N=-e^{-t-c_{1}}+5