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Popular >

(dy)/(dx)=(-y)

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

derivative of (2-x(x+1)^2)

\frac{d}{d x} ((2 - x) (x + 1)^{2})

limit as x approaches 0 of x-1

x \to 0 lim (x - 1)

integral of (4x^3-3x^2-8x)/(6x)

\int \frac{4 x ^{3} - 3 x ^{2} - 8 x}{6 x} d x

integral of (sec(3y)tan(36))

\int (sec (3 y) tan (36)) d y

integral of (e^{3x})/(4+e^{2x)}

\int \frac{e ^{3 x}}{4 + e ^{2 x}} d x

Frequently Asked Questions (FAQ)

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