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Popular >

(dy)/(dx)=-ay

Solution

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

Solution

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

Solution steps

\frac{d y}{d x} = - a y (x)

Solve separable ODE:

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

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

Popular Examples

y^'=(2-y)x,y(1)=-1

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

sqrt(y)dx+(2+x)dy=0

y d x + (2 + x) d y = 0

(dy)/(dx)=e^{3x+2y},y(0)=0

\frac{d y}{d x} = e^{3 x + 2 y}, y (0) = 0

y^'=2(1+x)(1+y^2)

y^{^{'}} = 2 (1 + x) (1 + y^{2})

(dy)/(dx)e^{x+y}-x=0

\frac{d y}{d x} e^{x + y} - x = 0

Frequently Asked Questions (FAQ)

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