Suppose is proposed as a solution of the differential equation

MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations

Problem

Suppose y(x)=epxsin⁡xy(x)=e^{px}\sin x is proposed as a solution of the differential equation y′′−2y′+2y=0y''-2y'+2y=0. Which value of pp makes this statement true for all real numbers xx? (a) p=0p=0 (b) p=1p=1 (c) p=−1p=-1 (d) p=3p=3

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