en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)+1/x y=8x^2

Solution

\frac{d y}{d x} + \frac{1}{x} y = 8 x^{2}

Solution

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

Solution steps

\frac{d y}{d x} + \frac{1}{x} y = 8 x^{2}

Solve linear ODE:

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

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

Popular Examples

limit as x approaches-2-of 4/(x+2)

x \to - 2 - lim (\frac{4}{x + 2})

limit as x approaches-9 of (x^2-2)/(9-x)

x \to - 9 lim (\frac{x ^{2} - 2}{9 - x})

integral of 2/(sec(x))

\int \frac{2}{sec ( x )} d x

integral of e^{-2v}

\int e^{- 2 v} d v

integral of 5cos(x/5)

\int 5 cos (\frac{x}{5}) d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)+1/x y=8x^2 ?
The solution for (dy)/(dx)+1/x y=8x^2 is y=2x^3+(c_{1})/x