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Popular >

xy^'+2y+x=1

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

derivative of x(x-9^2)

\frac{d}{d x} (x (x - 9)^{2})

(xdy)/(dx)=y+x^2sin(x)

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

integral of (1/3 x-9)^{2/3}

\int (\frac{1}{3} x - 9)^{\frac{2}{3}} d x

integral of-25sin(5x)

\int - 25 sin (5 x) d x

(dy)/(dt)=45t^8

\frac{d y}{d t} = 45 t^{8}

Frequently Asked Questions (FAQ)

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