A differentiable function satisfies for all real

MATHEMATICS · Subjective · A Level · Mathematics · Integration · Integration

Problem

A differentiable function pp satisfies p′(x)=ke2x+4p'(x)=k e^{2x}+4 for all real xx, where kk is a constant. If p(0)=5p(0)=5 and p(1)=20p(1)=20, find the value of kk.

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