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Popular >

ay^'=bx-by

Solution

a y^{^{'}} = b x - b y

Solution

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

Solution steps

a y^{'} (x) = b x - b y (x)

Solve linear ODE:

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

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

Popular Examples

(dy)/(dx)+(5x)y=3x+5

\frac{d y}{d x} + (5 x) y = 3 x + 5

integral of e^t+e^{-t}

\int e^{t} + e^{- t} d t

(\partial)/(\partial z)(sin(xy))

\frac{\partial}{\partial z} (sin (x y))

(\partial)/(\partial y)(ln((y^9)/(x^7)))

\frac{\partial}{\partial y} (ln (\frac{y ^{9}}{x ^{7}}))

integral from 0 to 60 of 25e^{-0.03x}

\int_{0}^{60} 25 e^{- 0.03 x} d x

Frequently Asked Questions (FAQ)

What is the solution for ay^'=bx-by ?
The solution for ay^'=bx-by is y=x-a/b+(c_{1}}{e^{\frac{bx)/a}}