en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x((dy)/(dx))-y=x^2

Solution

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

Solution

y = x^{2} + c_{1} x

Solution steps

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

Solve linear ODE:

y = x^{2} + c_{1} x

y = x^{2} + c_{1} x

Popular Examples

sum from n=0 to infinity of (2^n)/(5^n)

n = 0 \sum \infty \frac{2 ^{n}}{5 ^{n}}

limit as x approaches infinity-of 1/x

x \to \infty - lim (\frac{1}{x})

xy^'=xe^{-2x}-(2x+1)y

x y^{^{'}} = x e^{- 2 x} - (2 x + 1) y

limit as x approaches 8-of 4x

x \to 8 - lim (4 x)

derivative of c_{2}-3c_{1}-3c_{2}x

\frac{d}{d x} (c_{2} - 3 c_{1} - 3 c_{2} x)

Frequently Asked Questions (FAQ)

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