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Popular >

(dy)/(dt)=y+1

Solution

\frac{d y}{d t} = y + 1

Solution

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

Solution steps

\frac{d y}{d t} = y + 1

Solve separable ODE:

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

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

Popular Examples

integral from 0 to 7 of sqrt(49-x^2)

\int_{0}^{7} 49 - x^{2} d x

(\partial)/(\partial x)((x-2)(1-e^{-x}))

\frac{\partial}{\partial x} ((x - 2) (1 - e^{- x}))

1/4 y^{''}+4t=2tan(4t)-1/3 e^t

\frac{1}{4} y^{^{''}} + 4 t = 2 tan (4 t) - \frac{1}{3} e^{t}

limit as x approaches 0 of (sec(x)-1)/x

x \to 0 lim (\frac{sec ( x ) - 1}{x})

derivative of 1/(4x-1)

\frac{d}{d x} (\frac{1}{4 x - 1})

Frequently Asked Questions (FAQ)

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