C, cos t + C₂ sin t is a two- parameter family of solutions of the order DE, X" + x = 0 Second-order De a solution of the second - order X Find Initial Value problem differential equation initial conditions X (π/4) = 2√√√√2 consisting of this and the given X (π/4)=√√√√2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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C, cos t + C₂ sin t is a two-
parameter family of solutions of the
Find
order DE, X" + x = 0
solution of the second
Initial Value problem
differential equation and the given
X (π/4)=√√√2,
initial conditions.
X` (π/4) = 2√√√√2
X
=
a
- order
consisting of this
Transcribed Image Text:C, cos t + C₂ sin t is a two- parameter family of solutions of the Find order DE, X" + x = 0 solution of the second Initial Value problem differential equation and the given X (π/4)=√√√2, initial conditions. X` (π/4) = 2√√√√2 X = a - order consisting of this
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