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Popular >

(y^')/x =-2y

Solution

\frac{y ^{^{'}}}{x} = - 2 y

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

y^'sec(x)=5y^2,y((13pi)/2)= 1/8

y^{^{'}} sec (x) = 5 y^{2}, y (\frac{13 π}{2}) = \frac{1}{8}

(y^')/(y^{1/2)}=-10

\frac{y ^{^{'}}}{y ^{\frac{1}{2}}} = - 10

(3x^2y)dx+(2x^3)dy=0

(3 x^{2} y) d x + (2 x^{3}) d y = 0

(9 + x) y^{^{'}} = 2 y

(dy)/(dx)=cos(x)(2-y)

\frac{d y}{d x} = cos (x) (2 - y)

Frequently Asked Questions (FAQ)

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