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Popular >

(dy)/(dx)=-2yx

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

integral from 0 to 5 of 2pi(x)(5x-x^2)

\int_{0}^{5} 2 π (x) (5 x - x^{2}) d x

tangent of f(x)=x^4-25x^2+144,\at x=2 tangent of

f (x) = x^{4} - 25 x^{2} + 144, at x = 2

integral from 0 to 4 of (4-x)^2

\int_{0}^{4} (4 - x)^{2} d x

y^{''}-(2/x)y^'-(3/(x^2))y=0

y^{^{''}} - (\frac{2}{x}) y^{^{'}} - (\frac{3}{x ^{2}}) y = 0

sum from n=0 to infinity of cos(2n)

n = 0 \sum \infty cos (2 n)

Frequently Asked Questions (FAQ)

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