Question: (1 point) Sometimes a change of variable can be used to convert a differential equation y'= f(t, y) into a separable equation. One common

(1 point) Sometimes a change of variable can be used to convert

(1 point) Sometimes a change of variable can be used to 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, p, 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(2). Solve the initial value problem (a) g(z) = (b) y(t) = help (formulas) y' = (t + y)-1, y(3) = 5. help (formulas)

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