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Popular Calculus >

(dy)/(dx)+xy=y

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

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\frac{d}{d u} (x^{2} + x y (x, u) (x, u)^{3})

integral of sqrt(t)ln(t)

\int t ln (t) d t

integral of x^{5/4}

\int x^{\frac{5}{4}} d x

Frequently Asked Questions (FAQ)

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