GIVEN: The 2nd order differential equation ★: y'+y=0 The 2-parameter family of solutions to ★ =c.cos2+ c,sinr is FIND: The solution to the 2nd order IVP: = 0 ★: y' + y = 0, Jy(a) ly'(a) = 1¹ a = tan 1' a ¹()

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(2) GIVEN: The 2nd order differential equation ★: y"+y=0
The 2-parameter family of solutions to ★
y=c.cos2+ c sinr
is
FIND: The solution to the 2nd order IVP:
★: y'+y=0; y'(a)
[y(a) = 0
0,
ly'(a) = 1¹ a²¹ (²/2)
, a =
a tan
Transcribed Image Text:(2) GIVEN: The 2nd order differential equation ★: y"+y=0 The 2-parameter family of solutions to ★ y=c.cos2+ c sinr is FIND: The solution to the 2nd order IVP: ★: y'+y=0; y'(a) [y(a) = 0 0, ly'(a) = 1¹ a²¹ (²/2) , a = a tan
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