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Popular >

y^'=-4y+2

Solution

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

Solution

y = \frac{e ^{- 4 t - c_{1}}}{2} + \frac{1}{2}

Solution steps

y^{'} (t) = - 4 y + 2

Solve separable ODE:

y = \frac{e ^{- 4 t - c_{1}}}{2} + \frac{1}{2}

y = \frac{e ^{- 4 t - c_{1}}}{2} + \frac{1}{2}

Popular Examples

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\frac{d y}{d x} + 12 x y = - x

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(dy)/(dx)=(ycos(x))/(1+2y^2),y(0)=1

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x^{^{'}} = - 5 x

(dy)/(dx)-y/(sqrt(1-x^2))=0

\frac{d y}{d x} - \frac{y}{1 - x ^{2}} = 0

Frequently Asked Questions (FAQ)

What is the solution for y^'=-4y+2 ?
The solution for y^'=-4y+2 is y=(e^{-4t-c_{1}})/2+1/2