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Popular >

(dy)/(dx)=-2xy

Solution

\frac{d y}{d x} = - 2 x y

Solution

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

Solution steps

\frac{d y}{d x} = - 2 x y

Solve separable ODE:

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

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

Graph

Popular Examples

integral of x^3ex^4+5

\int x^{3} e x^{4} + 5 d x

integral of (sin(2x))/(sin^2(x))

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

(\partial)/(\partial t)(e^{pit})

\frac{\partial}{\partial t} (e^{π t})

sum from n=1 to infinity of (n+1)/(n+2)

n = 1 \sum \infty \frac{n + 1}{n + 2}

limit as x approaches 4 of (x-2)/x

x \to 4 lim (\frac{x - 2}{x})

Frequently Asked Questions (FAQ)

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