What is the solution for (dy)/(dt)=0.5y,y(2)=100 ?

The solution for (dy)/(dt)=0.5y,y(2)=100 is y=100e^{0.5t-1}

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(dy)/(dt)=0.5y,y(2)=100

\frac{d y}{d t} = 0.5 y, y (2) = 100

y = 100 e^{0.5 t - 1}

Solution steps

\frac{d y}{d t} = 0.5 y

Solve separable ODE:

y = 100 e^{0.5 t - 1}

y = 100 e^{0.5 t - 1}

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What is the solution for (dy)/(dt)=0.5y,y(2)=100 ?
The solution for (dy)/(dt)=0.5y,y(2)=100 is y=100e^{0.5t-1}