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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

integral of (4x-5)/((x-2)(x+3))

\int \frac{4 x - 5}{( x - 2 ) ( x + 3 )} d x

derivative of 1/(sin(x-sin(x)))

\frac{d}{d x} (\frac{1}{sin ( x - sin ( x ) )})

derivative of y=(8x^2+4x+2)/(sqrt(x))derivative of

y = \frac{8 x ^{2} + 4 x + 2}{x}

(\partial)/(\partial x)((4x+y)^3(x-y)^2)

\frac{\partial}{\partial x} ((4 x + y)^{3} (x - y)^{2})

(dy)/(dx)=14x^{-8}

\frac{d y}{d x} = 14 x^{- 8}

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