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Popular Calculus >

y^'=x-y

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Graph

Popular Examples

slope of (2.9)(5.8)slope

(2.9) (5.8)

integral of 1/(1+4x)

\int \frac{1}{1 + 4 x} d x

derivative of (e^x/(5+e^x))

\frac{d}{d x} (\frac{e ^{x}}{5 + e ^{x}})

integral from 1 to infinity of xe^{-2x}

\int_{1}^{\infty} x e^{- 2 x} d x

(3dy)/(dx)+12y=4

\frac{3 d y}{d x} + 12 y = 4

Frequently Asked Questions (FAQ)

What is the solution for y^'=x-y ?
The solution for y^'=x-y is y=x-1+(c_{1})/(e^x)