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Popular >

y^'+xy=0

Solution

y^{^{'}} + x y = 0

Solution

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

Solution steps

y^{'} (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

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x \to 0 + lim (cot^{2} (x))

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\frac{d}{d x} (x^{4} - 9 x + 6)

derivative of atan(x)

\frac{d}{d x} (a tan (x))

integral of (t^2)/(sqrt(a^4+t^2))

\int \frac{t ^{2}}{a ^{4} + t ^{2}} d t

integral of (5/(x^2))

\int (\frac{5}{x ^{2}}) d x

Frequently Asked Questions (FAQ)

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