Determine whether the function satisfies the differential equation

MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations

Problem

Determine whether the function y(x)=xe2xy(x)=x e^{2x} satisfies the differential equation y′′−4y′+4y=0y''-4y'+4y=0. Write the simplified form of y′′−4y′+4yy''-4y'+4y and state your conclusion.

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