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Popular >

(dy)/(dx)+xy=0

Solution

\frac{d y}{d x} + x y = 0

Solution

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

Solution steps

\frac{d y}{d x} + x y = 0

Solve separable ODE:

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

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

Popular Examples

integral of x/(x^2-5x+6)

\int \frac{x}{x ^{2} - 5 x + 6} d x

derivative of sqrt(1+xln(2))

\frac{d}{d x} (1 + x ln (2))

integral from 1 to 4 of (x-1)

\int_{1}^{4} (x - 1) d x

limit as x approaches c of f(x)g(x)

x \to c lim (f (x) g (x))

integral from 0 to 1 of 6/(1+x^2)

\int_{0}^{1} \frac{6}{1 + x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)+xy=0 ?
The solution for (dy)/(dx)+xy=0 is y=e^{-(x^2)/2+c_{1}}