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Popular >

(dy)/(dt)=-2(y-4)

Solution

\frac{d y}{d t} = - 2 (y - 4)

Solution

y = e^{- 2 t + c_{1}} + 4

Solution steps

\frac{d y}{d t} = - 2 (y - 4)

Solve separable ODE:

y = e^{- 2 t + c_{1}} + 4

y = e^{- 2 t + c_{1}} + 4

Popular Examples

integral of (sqrt(x^2+16))/(x^4)

\int \frac{x ^{2} + 16}{x ^{4}} d x

limit as x approaches 1 of x^2+3x-4

x \to 1 lim (x^{2} + 3 x - 4)

derivative of ((x^2e^x))/(x^2+e^x)derivative of

\frac{( x ^{2} e ^{x} )}{x ^{2} + e ^{x}}

derivative of 5e^x(cos(x-sin(x)))

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

(dy)/(dx)=(x-8)e^{-2y},y(8)=ln(8)

\frac{d y}{d x} = (x - 8) e^{- 2 y}, y (8) = ln (8)

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=-2(y-4) ?
The solution for (dy)/(dt)=-2(y-4) is y=e^{-2t+c_{1}}+4