A differentiable function satisfies for all real

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

Problem

A differentiable function mm satisfies (m(x)e2x)′=8e2x(m(x)e^{2x})' = 8e^{2x} for all real xx, and m(0)=1m(0)=1. Determine m(x)m(x).

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