What is the solution for x/(100)+1(dx)/(dt)=75 ?

The solution for x/(100)+1(dx)/(dt)=75 is x=-e^{(-t-c_{1})/(100)}+7500

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x/(100)+1(dx)/(dt)=75

\frac{x}{100} + 1 \frac{d x}{d t} = 75

x = - e^{\frac{- t - c _{1}}{100}} + 7500

Solution steps

\frac{x}{100} + 1 \frac{d x}{d t} = 75

Solve separable ODE:

x = - e^{\frac{- t - c _{1}}{100}} + 7500

x = - e^{\frac{- t - c _{1}}{100}} + 7500

y d x - x d y = 2 d y, y (1) = 3

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

\frac{d y}{d t} = y - 3

\frac{d y}{d x} = \frac{2 ^{3} + 1}{y}, y = 2, x = 2 y, x = 1

\frac{d y}{d x} = \frac{8}{y}

What is the solution for x/(100)+1(dx)/(dt)=75 ?
The solution for x/(100)+1(dx)/(dt)=75 is x=-e^{(-t-c_{1})/(100)}+7500