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Popular >

(dy)/(dx)=1-y

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

integral of x-1/(x^2)

\int x - \frac{1}{x ^{2}} d x

derivative of 8e^{8e^x+x}derivative of

8 e^{8 e^{x} + x}

derivative of f(x)= x/(x^2+4)derivative of

f (x) = \frac{x}{x ^{2} + 4}

x^{^{'}} + 5 x^{2} = 25

(\partial)/(\partial y)(x+2y)

\frac{\partial}{\partial y} (x + 2 y)

Frequently Asked Questions (FAQ)

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