What is the solution for (dy)/(dt)=0.125(y-3),y(0)=5 ?

The solution for (dy)/(dt)=0.125(y-3),y(0)=5 is y=2e^{0.125t}+3

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(dy)/(dt)=0.125(y-3),y(0)=5

\frac{d y}{d t} = 0.125 (y - 3), y (0) = 5

y = 2 e^{0.125 t} + 3

Solution steps

\frac{d y}{d t} = 0.125 (y - 3)

Solve separable ODE:

y = 2 e^{0.125 t} + 3

y = 2 e^{0.125 t} + 3

\frac{d y}{d x} = 2 y - 6

y y^{^{'}} = sin (x) + cos (x)

y^{^{'}} = y sin (x)

y y^{^{'}} = x - x^{2}, y (0) = x 1 - x^{2}

\frac{d y}{d x} - \frac{y ^{2}}{x} = 0

What is the solution for (dy)/(dt)=0.125(y-3),y(0)=5 ?
The solution for (dy)/(dt)=0.125(y-3),y(0)=5 is y=2e^{0.125t}+3