What is the solution for (dy)/(dt)=0.225-y/(200),y(0)=90 ?

The solution for (dy)/(dt)=0.225-y/(200),y(0)=90 is y=45+(45)/(e^{t/(200))}

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(dy)/(dt)=0.225-y/(200),y(0)=90

\frac{d y}{d t} = 0.225 - \frac{y}{200}, y (0) = 90

y = 45 + \frac{45}{e ^{\frac{t}{200}}}

Solution steps

\frac{d y}{d t} = 0.225 - \frac{y}{200}

Solve linear ODE:

y = 45 + \frac{45}{e ^{\frac{t}{200}}}

y = 45 + \frac{45}{e ^{\frac{t}{200}}}

(x^{2} + 1) \cdot e^{x - 1}

t + 2

\frac{d y}{d x}, y = x^{\frac{15}{16}}

\int 0.5 e^{x} d x

\int e^{- a x} cos (b x) d x

What is the solution for (dy)/(dt)=0.225-y/(200),y(0)=90 ?
The solution for (dy)/(dt)=0.225-y/(200),y(0)=90 is y=45+(45)/(e^{t/(200))}