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Popular >

y^'=1-y

Solution

y^{^{'}} = 1 - y

Solution

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

Solution steps

y^{'} (t) = 1 - y

Solve separable ODE:

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

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

Popular Examples

t^2y^'+6ty-y^3=0

t^{2} y^{^{'}} + 6 t y - y^{3} = 0

y^{''}-2y^'+4y=0

y^{^{''}} - 2 y^{^{'}} + 4 y = 0

derivative of e^{x^2-4x}derivative of

e^{x^{2} - 4 x}

derivative of 8e^{4sqrt(x)}derivative of

8 e^{4 x}

derivative of tan(x-sec(x))

\frac{d}{d x} (tan (x) - sec (x))

Frequently Asked Questions (FAQ)

What is the solution for y^'=1-y ?
The solution for y^'=1-y is y=-e^{-t-c_{1}}+1