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Popular >

(dy)/(dt)=2y-1

Solution

\frac{d y}{d t} = 2 y - 1

Solution

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

Solution steps

\frac{d y}{d t} = 2 y - 1

Solve separable ODE:

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

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

Popular Examples

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\int_{0}^{6} π (x - 1)^{2} d x

integral of 1/(1-x^2)

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

x^2y^'+8xy=17y^3

x^{2} y^{^{'}} + 8 x y = 17 y^{3}

integral of (2xarcsin(x))/(sqrt(1-x^2))

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

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=2y-1 ?
The solution for (dy)/(dt)=2y-1 is y=(e^{2t+c_{1}})/2+1/2