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Popular >

(dy)/(dt)=e^{t-y}

Solution

\frac{d y}{d t} = e^{t - y}

Solution

y = ln (e^{t} + c_{1})

Solution steps

\frac{d y}{d t} = e^{t - y}

Solve separable ODE:

y = ln (e^{t} + c_{1})

y = ln (e^{t} + c_{1})

Popular Examples

integral from 0 to 5 of e^xsin(x)

\int_{0}^{5} e^{x} sin (x) d x

tangent of f(x)=2x^2-x-3 tangent of

f (x) = 2 x^{2} - x - 3

integral from 0 to 1 of 8e^{-4x}

\int_{0}^{1} 8 e^{- 4 x} d x

slope of (0.2)(3.5)slope

(0.2) (3.5)

limit as x approaches 5 of sqrt(x^2-16)

x \to 5 lim (x^{2} - 16)

Frequently Asked Questions (FAQ)

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