en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^'+y=x

Solution

y^{^{'}} + y = x

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

integral of (x+5)/(sqrt(4-(x-2)^2))

\int \frac{x + 5}{4 - ( x - 2 ) ^{2}} d x

integral of sin^2(9x)cos^2(9x)

\int sin^{2} (9 x) cos^{2} (9 x) d x

integral of 4/15 x^{5/2}+6cos(x)+Cx+D

\int \frac{4}{15} x^{\frac{5}{2}} + 6 cos (x) + C x + D d x

derivative of x^7ln(3x)

\frac{d}{d x} (x^{7} ln (3 x))

integral from 1 to 2 of 5r^2ln(r)

\int_{1}^{2} 5 r^{2} ln (r) d r

Frequently Asked Questions (FAQ)

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