What is the solution for (dy)/(dt)=-0.17(100-y) ?

The solution for (dy)/(dt)=-0.17(100-y) is y=-e^{(17t)/(100)-c_{1}}+100

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(dy)/(dt)=-0.17(100-y)

\frac{d y}{d t} = - 0.17 (100 - y)

y = - e^{\frac{17 t}{100} - c_{1}} + 100

Solution steps

\frac{d y}{d t} = - 0.17 (100 - y)

Solve separable ODE:

y = - e^{\frac{17 t}{100} - c_{1}} + 100

y = - e^{\frac{17 t}{100} - c_{1}} + 100

\frac{( d y )}{( d x )} = \frac{( 1 )}{( 4 ) y}

y^{^{'}} = - 2 y - 8, y (0) = 0

y^{^{'}} = - \frac{3 y}{1000 + 3 t}

\frac{d y}{d x} = \frac{1 + y ^{6}}{x y ^{5}}

\frac{d x}{d y} = \frac{1 + 2 y ^{2}}{y \cdot sin ( x )}

What is the solution for (dy)/(dt)=-0.17(100-y) ?
The solution for (dy)/(dt)=-0.17(100-y) is y=-e^{(17t)/(100)-c_{1}}+100