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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

integral of 1/24 x^2

\int \frac{1}{24} x^{2} d x

(\partial)/(\partial x)(-x+6y)

\frac{\partial}{\partial x} (- x + 6 y)

derivative of ln(5+ln(x))

\frac{d}{d x} (ln (5 + ln (x)))

limit as x approaches infinity of 5e^x

x \to \infty lim (5 e^{x})

(\partial)/(\partial x)(7x^{6y})

\frac{\partial}{\partial x} (7 x^{6 y})

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