en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

xy^'-2y=x^4

Solution

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

Solution

y = \frac{x ^{4}}{2} + c_{1} x^{2}

Solution steps

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

Solve linear ODE:

y = \frac{x ^{4}}{2} + c_{1} x^{2}

y = \frac{x ^{4}}{2} + c_{1} x^{2}

Popular Examples

sum from n=0 to infinity of e^{(2n-1)}

n = 0 \sum \infty e^{(2 n - 1)}

integral of (2x+1)/(x^2-x+3)

\int \frac{2 x + 1}{x ^{2} - x + 3} d x

limit as x approaches 2 of 8/x

x \to 2 lim (\frac{8}{x})

integral from 9 to infinity of 2/(x^3)

\int_{9}^{\infty} \frac{2}{x ^{3}} d x

(ye^{xy}-1/y)dx(xe^{xy}-x/(y^2))dy=0

(y e^{x y} - \frac{1}{y}) d x (x e^{x y} - \frac{x}{y ^{2}}) d y = 0

Frequently Asked Questions (FAQ)

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