Write down a differential equation of the form dy/dt = ay + b whose solutions have the required beh…

Write down a differential equation of the form dy/dt = ay + b whose solutions have the required behavior as t → ∞. All solutions approach y = 3. Write down a differential equation of the form dy/dt = ay + b whose solutions have the required behavior as t → ∞. All other solutions diverge from y = 1/3. Verify that each function is a solution of the differential equation. a.) y #x27; #x27; - y = 0; y1(t) = e^t, y2(t) = cosh(t).

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