Verify whether the function satisfies the differential equation for all real

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

Problem

Verify whether the function y=e2x−4e−2xy=e^{2x}-4e^{-2x} satisfies the differential equation y′′=4yy''=4y for all real xx. Give a brief justification.

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