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(a) Show that any function of the form $ y = A \sinh mx + B \cosh mx $ satisfies the differential equation $ y" = m^2 y. $(b) Find $ y = y(x) $ such that $ y" = 9y, y(0) = -4, $ and $ y'(0) = 6. $

A. $m^{2} y$B. $2 \sinh 3 x-4 \cosh 3 x$

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 11

Hyperbolic Functions

Derivatives

Differentiation

Missouri State University

Campbell University

Harvey Mudd College

Idaho State University

Lectures

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