Suppose a function satisfies for all real

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Suppose a function pp satisfies p(4)(x)=24p^{(4)}(x)=24 for all real xx. Given that p′′′(0)=7p'''(0)=7, p′′(0)=0p''(0)=0, p′(0)=−2p'(0)=-2, and p(0)=1p(0)=1, find p(x)p(x).

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