Sometimes a change of variable can be used convert a differential equation y' = f(t, y) into a separable equation. One common change of variable technique is as follows. 1. Consider a differential equation of the form y' = f(at + By + y), where a, ß, and y are constants. Use the change of variable z = at +By+y to rewrite the differential equation as a separable equation of the form z' = g(z). Solve the initial value problem (a) g(z) = (b) y(t) = y' = (t + y)² − 1, y(2) = 4. help (formulas) help (formulas)

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