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Popular >

(dy)/(dt)=-3(y-4)

Solution

\frac{d y}{d t} = - 3 (y - 4)

Solution

y = e^{- 3 t + c_{1}} + 4

Solution steps

\frac{d y}{d t} = - 3 (y - 4)

Solve separable ODE:

y = e^{- 3 t + c_{1}} + 4

y = e^{- 3 t + c_{1}} + 4

Popular Examples

integral of 5z^3e^z

\int 5 z^{3} e^{z} d z

tangent of f(x)=8x^3,\at x= 1/2 tangent of

f (x) = 8 x^{3}, at x = \frac{1}{2}

derivative of arctan(cos(θ))derivative of

arctan (cos (θ))

implicit (dy}{dx},y=\frac{-5x)/5+3sqrt(x^3)-4/(5sqrt(x))implicit derivative

\frac{d y}{d x}, y = \frac{- 5 x}{5} + 3 x^{3} - \frac{4}{5 x}

tangent of y=3x^2-5x+9 tangent of

y = 3 x^{2} - 5 x + 9

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=-3(y-4) ?
The solution for (dy)/(dt)=-3(y-4) is y=e^{-3t+c_{1}}+4