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Popular >

(dy)/(dt)=-3(y-5)

Solution

\frac{d y}{d t} = - 3 (y - 5)

Solution

y = e^{- 3 t + c_{1}} + 5

Solution steps

\frac{d y}{d t} = - 3 (y - 5)

Solve separable ODE:

y = e^{- 3 t + c_{1}} + 5

y = e^{- 3 t + c_{1}} + 5

Popular Examples

limit as x approaches infinity of ((\frac{x+1)/(x^3+2))}{(x/(x^3))}

x \to \infty lim (\frac{( \frac{x + 1}{x ^{3} + 2} )}{( \frac{x}{x ^{3}} )})

limit as x approaches 5+of 8/(x-5)

x \to 5 + lim (\frac{8}{x - 5})

integral of sin(ln(2x))

\int sin (ln (2 x)) d x

derivative of 2sin(2x-2cos(2x)-1/5 e^x)

\frac{d}{d x} (2 sin (2 x) - 2 cos (2 x) - \frac{1}{5} e^{x})

derivative of (x-5^2)

\frac{d}{d x} ((x - 5)^{2})

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=-3(y-5) ?
The solution for (dy)/(dt)=-3(y-5) is y=e^{-3t+c_{1}}+5