en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^'+1/x y=10x^2

Solution

y^{^{'}} + \frac{1}{x} y = 10 x^{2}

Solution

y = \frac{5 x ^{3}}{2} + \frac{c _{1}}{x}

Solution steps

y^{'} (x) + \frac{1}{x} y = 10 x^{2}

Solve linear ODE:

y = \frac{5 x ^{3}}{2} + \frac{c _{1}}{x}

y = \frac{5 x ^{3}}{2} + \frac{c _{1}}{x}

Popular Examples

derivative of sqrt(1-sin(x))

\frac{d}{d x} (1 - sin (x))

derivative of 6x-5

\frac{d}{d x} (6 x - 5)

derivative of (e^{2x}+e^{-2x}/x)

\frac{d}{d x} (\frac{e ^{2 x} + e ^{- 2 x}}{x})

derivative of Xsqrt(X+1)derivative of

X X + 1

integral of (t-3)/(sqrt(t))

\int \frac{t - 3}{t} d t

Frequently Asked Questions (FAQ)

What is the solution for y^'+1/x y=10x^2 ?
The solution for y^'+1/x y=10x^2 is y=(5x^3)/2+(c_{1})/x