Show that the following general equation x = c1 cos(/t) + c2 sin(\/t) k m can be transformed into: C cos(/ t + ¢) x = m Write down constant C and O in terms of c, and c,! Hint: use a trigonometric identity!

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Show that the following general equation
x = c1 cos(/t) + c2 sin(\/t)
k
m
can be transformed into:
C cos(/ t + ¢)
x =
m
Write down constant C and O in terms of c, and c,!
Hint: use a trigonometric identity!
Transcribed Image Text:Show that the following general equation x = c1 cos(/t) + c2 sin(\/t) k m can be transformed into: C cos(/ t + ¢) x = m Write down constant C and O in terms of c, and c,! Hint: use a trigonometric identity!
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