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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

Popular Examples

derivative of x-3ln(x)

\frac{d}{d x} (x - 3 ln (x))

derivative of e^{-xt}

\frac{d}{d x} (e^{- x t})

limit as x approaches 3+of ([x])/x

x \to 3 + lim (\frac{[ x ]}{x})

y^{^{''}} - y = e^{x}

integral of (6x+1)sqrt(2x-3)

\int (6 x + 1) 2 x - 3 d x

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