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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}}

Popular Examples

derivative of 3x^{2/3}-2x derivative of

3 x^{\frac{2}{3}} - 2 x

inverse oflaplace s/(s+10^4)inverse laplace

\frac{s}{s + 1 0 ^{4}}

integral of 6x^{3/5}

\int 6 x^{\frac{3}{5}} d x

integral from 1 to e^2 of (ln^7(x^2))/x

\int_{1}^{e^{2}} \frac{ln ^{7} ( x ^{2} )}{x} d x

derivative of x-sin(x)

\frac{d}{d x} (x - sin (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}}