en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

xy^'+2y=-4x

Solution

x y^{^{'}} + 2 y = - 4 x

Solution

y = - \frac{4 x}{3} + \frac{c _{1}}{x ^{2}}

Solution steps

x y^{'} (x) + 2 y = - 4 x

Solve linear ODE:

y = - \frac{4 x}{3} + \frac{c _{1}}{x ^{2}}

y = - \frac{4 x}{3} + \frac{c _{1}}{x ^{2}}

Graph

Popular Examples

derivative of (x^3^5)

\frac{d}{d x} ((x^{3})^{5})

sum from n=0 to infinity of 1+1/n

n = 0 \sum \infty 1 + \frac{1}{n}

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

derivative of-5e^{-x}

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

integral of 1/(sqrt(8x+1))

\int \frac{1}{8 x + 1} d x

Frequently Asked Questions (FAQ)

What is the solution for xy^'+2y=-4x ?
The solution for xy^'+2y=-4x is y=-(4x)/3+(c_{1})/(x^2)