What is the solution for (dy)/(dt)=6-1/100 y ?

The solution for (dy)/(dt)=6-1/100 y is y=-e^{(-t-c_{1})/(100)}+600

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(dy)/(dt)=6-1/100 y

\frac{d y}{d t} = 6 - \frac{1}{100} y

y = - e^{\frac{- t - c _{1}}{100}} + 600

Solution steps

\frac{d y}{d t} = 6 - \frac{1}{100} y

Solve separable ODE:

y = - e^{\frac{- t - c _{1}}{100}} + 600

y = - e^{\frac{- t - c _{1}}{100}} + 600

k = 1 \sum \infty \frac{1}{k}

\frac{d}{d x} ((x^{2} - 4)^{3})

\frac{d}{d x} (e^{x} x + 3 e^{x})

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\frac{12}{x ^{3}}

What is the solution for (dy)/(dt)=6-1/100 y ?
The solution for (dy)/(dt)=6-1/100 y is y=-e^{(-t-c_{1})/(100)}+600