What is the solution for (dy)/(dt)=0.07y+200 ?

The solution for (dy)/(dt)=0.07y+200 is y=(e^{0.07t+c_{1}})/(0.07)-(200)/(0.07)

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(dy)/(dt)=0.07y+200

\frac{d y}{d t} = 0.07 y + 200

y = \frac{e ^{0.07 t + c_{1}}}{0.07} - \frac{200}{0.07}

Solution steps

\frac{d y}{d t} = 0.07 y + 200

Solve separable ODE:

y = \frac{e ^{0.07 t + c_{1}}}{0.07} - \frac{200}{0.07}

y = \frac{e ^{0.07 t + c_{1}}}{0.07} - \frac{200}{0.07}

x \to \infty lim (- 8 x^{6})

\frac{d}{d x} (e^{x^{2} - 2})

\int - 8 x + 10 y - 3 d y

y = lo g_{3} (x)

\int_{15}^{30} 6 d x

What is the solution for (dy)/(dt)=0.07y+200 ?
The solution for (dy)/(dt)=0.07y+200 is y=(e^{0.07t+c_{1}})/(0.07)-(200)/(0.07)