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Activity 7.4.4.
Solve each of the following differential equations or initial value problems.
(a)
\(\frac{dy}{dt} - (2-t) y = 2-t\)
(b)
\(\frac{1}{t}\frac{dy}{dt} = e^{t^2-2y}\)
(c)
\(y' = 2y+2\text{,}\) \(y(0)=2\)
(d)
\(y' = 2y^2\text{,}\) \(y(-1) = 2\)
(e)
\(\frac{dy}{dt} = \frac{-2ty}{t^2 + 1}\text{,}\) \(y(0) = 4\)
