en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

\frac{d y}{d x} + (\frac{2}{x}) y = 8 x

Solution

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

Solution steps

\frac{d y}{d x} + (\frac{2}{x}) y = 8 x

Solve linear ODE:

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

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

Graph

Popular Examples

(\partial)/(\partial x)(x^3+axy^2)

\frac{\partial}{\partial x} (x^{3} + a x y^{2})

limit as x approaches-infinity of (4arctan(8x))/(e^x+2)

x \to - \infty lim (\frac{4 arctan ( 8 x )}{e ^{x} + 2})

integral of sqrt(x)

\int x d x

(\partial)/(\partial y)(6y^5cos(5x))

\frac{\partial}{\partial y} (6 y^{5} cos (5 x))

(\partial)/(\partial x)(x^4+2x^2y+y^3)

\frac{\partial}{\partial x} (x^{4} + 2 x^{2} y + y^{3})

Frequently Asked Questions (FAQ)

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