(Calculus required) Suppose that f (x) = a1e2x + a2e3x is asolution to a differential

Chapter 1, Problem 65

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(Calculus required) Suppose that f (x) = a1e2x + a2e3x is asolution to a differential equation. If we know that f (0) = 5 andf (0) = 1 (these are the initial conditions), what are the valuesof a1 and a2? (HINT: f (x) = 2a1e2x 3a2e3x .)

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