en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

integral of (-1)/(1+sin(x))

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

derivative of f(x)=sin(x)*cos(x)derivative of

f (x) = sin (x) \cdot cos (x)

inverse oflaplace 3/(s^2+4)inverse laplace

\frac{3}{s ^{2} + 4}

laplacetransform cos(t-pi)laplace transform

cos (t - π)

area-2x^2+8,3x+1,x=0 area

- 2 x^{2} + 8, 3 x + 1, x = 0

Frequently Asked Questions (FAQ)

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