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Popular Calculus >

(dy)/(dx)=a-by

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

(dy)/(dx)=12x^3e^y

(dy)/(dx)=(x^2+1)/(2-y)

(dy)/(dx)=((x-1)^2)/(3y)

(dx)/(x^2y)=(dy)/(2y^2)

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=a-by ?
The solution for (dy)/(dx)=a-by is y=-(e^{-bx-c_{1}b})/b+a/b