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Popular >

(dy)/(dx)+2xy=x

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

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integral of 1/(sqrt(x^2-2))

\int \frac{1}{x ^{2} - 2} d x

integral of (sqrt(x)+1/(4sqrt(x)))

\int (x + \frac{1}{4 x}) d x

Frequently Asked Questions (FAQ)

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