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Popular >

(dy)/(dx)=-5yx

Solution

\frac{d y}{d x} = - 5 y x

Solution

y = e^{- \frac{5 x ^{2}}{2} + c_{1}}

Solution steps

\frac{d y}{d x} = - 5 y x

Solve separable ODE:

y = e^{- \frac{5 x ^{2}}{2} + c_{1}}

y = e^{- \frac{5 x ^{2}}{2} + c_{1}}

Popular Examples

integral from 0 to 4 of sqrt(1+x)

\int_{0}^{4} 1 + x d x

integral of (-1)/(1-x)

\int \frac{- 1}{1 - x} d x

integral from 1 to 3 of (-x^2+4x-3)

\int_{1}^{3} (- x^{2} + 4 x - 3) d x

limit as x approaches (0) of (ln(x))/x

x \to (0) lim (\frac{ln ( x )}{x})

limit as x approaches-3 of 2x-3ax+6a

x \to - 3 lim (2 x - 3 a x + 6 a)

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=-5yx ?
The solution for (dy)/(dx)=-5yx is y=e^{-(5x^2)/2+c_{1}}