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Popular >

(dx)/(dt)=a-bx

Solution

\frac{d x}{d t} = a - b x

Solution

x = - \frac{e ^{- b t - c_{1} b}}{b} + \frac{a}{b}

Solution steps

\frac{d x}{d t} = a - b x (t)

Solve separable ODE:

x = - \frac{e ^{- b t - c_{1} b}}{b} + \frac{a}{b}

x = - \frac{e ^{- b t - c_{1} b}}{b} + \frac{a}{b}

Popular Examples

derivative of y=(5-3x^2)^3 derivative of

y = (5 - 3 x^{2})^{3}

tangent of x^4-2x^2+1 tangent of

x^{4} - 2 x^{2} + 1

derivative of 2e^{4x}sin(pix)

\frac{d}{d x} (2 e^{4 x} sin (π) x)

derivative of e^{4^x}

\frac{d}{d x} (e^{4^{x}})

sum from n=1 to infinity of 1/((n^2+5n))

n = 1 \sum \infty \frac{1}{( n ^{2} + 5 n )}

Frequently Asked Questions (FAQ)

What is the solution for (dx)/(dt)=a-bx ?
The solution for (dx)/(dt)=a-bx is x=-(e^{-bt-c_{1}b})/b+a/b