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Popular >

(dy)/(dt)=1-y

Solution

\frac{d y}{d t} = 1 - y

Solution

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

Solution steps

\frac{d y}{d t} = 1 - y

Solve separable ODE:

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

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

Popular Examples

integral of x/(\sqrt[4]{x+3)}

integral of (-8(x-9))/((x+5)(x-2))

\int \frac{- 8 ( x - 9 )}{( x + 5 ) ( x - 2 )} d x

derivative of (e^2/(x^2-2x))

\frac{d}{d x} (\frac{e ^{2}}{x ^{2} - 2 x})

derivative of 3^xsin^2(5x)

\frac{d}{d x} (3^{x} sin^{2} (5 x))

(\partial)/(\partial x)(8+xln(xy-9))

\frac{\partial}{\partial x} (8 + x ln (x y - 9))

Frequently Asked Questions (FAQ)

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