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Popular >

(dy)/(dx)=-yx

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

y^'+9xy=8x,y(0)=6

y^{^{'}} + 9 x y = 8 x, y (0) = 6

(dy)/(dx)=(3x^2+4x+2)/(2y+1)

\frac{d y}{d x} = \frac{3 x ^{2} + 4 x + 2}{2 y + 1}

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

x^{2} + y^{2} \frac{d y}{d x} = 0

(dy)/(dt)= 2/100-(3y)/(100)

\frac{d y}{d t} = \frac{2}{100} - \frac{3 y}{100}

y*dy-2xy^2*dx=0

y \cdot d y - 2 x y^{2} \cdot d x = 0

Frequently Asked Questions (FAQ)

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