Let g: RR be a differentiable function satisfying the following conditions. • g(0) = 1 and g(t) ≥ 0 for all t = R. • The derivative function g' : R → R is continuous. Argue that the following inequality holds: 2 g(t) dt- t = [["9 (t)³ dt| ≤
Let g: RR be a differentiable function satisfying the following conditions. • g(0) = 1 and g(t) ≥ 0 for all t = R. • The derivative function g' : R → R is continuous. Argue that the following inequality holds: 2 g(t) dt- t = [["9 (t)³ dt| ≤
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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