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Popular >

(dy)/(dx)+xy=x

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

derivative of f(x)= 1/(4x^2+3x)derivative of

f (x) = \frac{1}{4 x ^{2} + 3 x}

integral of (2x+1)e^{-x}

\int (2 x + 1) e^{- x} d x

limit as x approaches 3 of x(x-3)

x \to 3 lim (x (x - 3))

y^{'''}-2y^'-4y=0

y^{^{'''}} - 2 y^{^{'}} - 4 y = 0

laplacetransform t+1^2 laplace transform

t + 1^{2}

Frequently Asked Questions (FAQ)

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