Without solving, match a solution curve of y" + y = f(x) shown in the figure with one of the following functions. АЛЛА O f(x) = 1 O f(x) = e-x Of(x) = ex Of(x) = sin(2x) Of(x) = e* sin(x) O f(x) = sin(x) Briefly discuss your reasoning. We see that the solution is the sum of a sinusoidal term and a term that O is sinusoidal with a different period. O is constant and simply translates the sinusoidal part vertically. goes to ∞o as x → ∞o and 0 as x →-00. goes to 0 as x→ ∞o and ∞o as x→-00. O oscillates with an amplitude that goes to coas x→ ∞o and 0 as x→-00.

Without solving, match a solution curve of y" + y = f(x) shown in the figure with one of the following functions. АЛЛА O f(x) = 1 O f(x) = e-x Of(x) = ex Of(x) = sin(2x) Of(x) = e* sin(x) O f(x) = sin(x) Briefly discuss your reasoning. We see that the solution is the sum of a sinusoidal term and a term that O is sinusoidal with a different period. O is constant and simply translates the sinusoidal part vertically. goes to ∞o as x → ∞o and 0 as x →-00. goes to 0 as x→ ∞o and ∞o as x→-00. O oscillates with an amplitude that goes to coas x→ ∞o and 0 as x→-00.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.2: Trigonometric Equations

Problem 27E

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