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Popular >

(dy)/(dx)=-16xy

Solution

\frac{d y}{d x} = - 16 x y

Solution

y = e^{- 8 x^{2} + c_{1}}

Solution steps

\frac{d y}{d x} = - 16 x y

Solve separable ODE:

y = e^{- 8 x^{2} + c_{1}}

y = e^{- 8 x^{2} + c_{1}}

Graph

Popular Examples

(y/(x+6x))+(ln(x)-2)y^'=0

(\frac{y}{x + 6 x}) + (ln (x) - 2) y^{^{'}} = 0

y^'=70yx^{13},y(1)=2

y^{^{'}} = 70 y x^{13}, y (1) = 2

(dy)/(dx)=e^{3x-5y}

\frac{d y}{d x} = e^{3 x - 5 y}

(dy)/(dx)=((1+4y^2))/(e^x)

\frac{d y}{d x} = \frac{( 1 + 4 y ^{2} )}{e ^{x}}

(dy)/(dx)=-8xy^2,y(0)=1

\frac{d y}{d x} = - 8 x y^{2}, y (0) = 1

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=-16xy ?
The solution for (dy)/(dx)=-16xy is y=e^{-8x^2+c_{1}}