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Popular >

dy=-ydx

Solution

d y = - y d x

Solution

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

Solution steps

d y = - y d x

Solve separable ODE:

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

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

Graph

Popular Examples

x^{^{'}} = (\frac{2}{t} - t) x

(2x-6}{25}+(2(y-5)(\frac{dy)/(dx)))/9 =1

\frac{2 x - 6}{25} + \frac{2 ( y - 5 ) ( \frac{d y}{d x} )}{9} = 1

(x^2+6x^2y^2)dx+e^{x^3}ydy=0

(x^{2} + 6 x^{2} y^{2}) d x + e^{x^{3}} y d y = 0

y^{9/2}(dy)/(dx)-y^4=-y^{11/2}

y^{\frac{9}{2}} \frac{d y}{d x} - y^{4} = - y^{\frac{11}{2}}

(dx)/(dt)=60-x/(100),x=4000,t=0

\frac{d x}{d t} = 60 - \frac{x}{100}, x = 4000, t = 0

Frequently Asked Questions (FAQ)

What is the solution for dy=-ydx ?
The solution for dy=-ydx is y=e^{-x+c_{1}}