Verify that y = sin 6t + 5cos 6t is a solution to the initial value problem 5y" + 180y = 0; y(0) = 5, y'(0) = 6. Find the maximum of y(t) for -∞
Verify that y = sin 6t + 5cos 6t is a solution to the initial value problem 5y" + 180y = 0; y(0) = 5, y'(0) = 6. Find the maximum of y(t) for -∞
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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find the derviatives for y'
a) y' =
b) y'' =
c) the max of |y(t)| for - infinite < t < infinite is ?
Transcribed Image Text:Verify that y = sin 6t + 5cos 6t is a solution to the initial value problem 5y" + 180y = 0;
y(0) = 5, y'(0) = 6. Find the maximum of y(t) for -∞<t<∞.
Find the derivatives of y.
y'=0
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