Which of the following is a solution of the differential equation y″ – 64 y = 0? Select all that apply. y = 2 e²t + cos (2√3 t ) y = 3 cos (2√3 t) - 2 sin (2√3t) -2t = e (2 cos(2√3t) y = e4 У = y = +3 2v + 3 sin sin (2√3 t) - 5 e6t ) * (2 cos (2√3t) + 3 sin sin (2√3t) - 5 e-2t) t) 3 e4(+2)+5e −2(t+1) sin (2√3 1 -2t e ( 3 cos (2√3 (t+1)) + 2e6+3 ) Let y be the solution of the initial value problem fy"+6y+5y=0 {y(0) = 1, y'(0) = -3 Then y' (In(2)) + 3y(In(2)) y' (In(2)) + 3y (In(2)) y' (In(2)) + 3y (In(2)) y' (In(2)) + 3y(ln(2)) y' (In(2)) + 3y(ln(2)) 3 = 32 15 = 8 3 = 16 15 = 2 15 = 32

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
Which of the following is a solution of the differential equation y″ – 64 y = 0?
Select all that apply.
y = 2 e²t + cos (2√3 t )
y = 3 cos (2√3 t) - 2 sin (2√3t)
-2t
= e
(2 cos(2√3t)
y
=
e4
У
=
y
=
+3 2v
+ 3 sin
sin (2√3 t) - 5 e6t )
* (2 cos (2√3t) +
3 sin
sin (2√3t) - 5 e-2t)
t)
3 e4(+2)+5e −2(t+1) sin (2√3 1
-2t
e
( 3 cos (2√3 (t+1)) + 2e6+3 )
Transcribed Image Text:Which of the following is a solution of the differential equation y″ – 64 y = 0? Select all that apply. y = 2 e²t + cos (2√3 t ) y = 3 cos (2√3 t) - 2 sin (2√3t) -2t = e (2 cos(2√3t) y = e4 У = y = +3 2v + 3 sin sin (2√3 t) - 5 e6t ) * (2 cos (2√3t) + 3 sin sin (2√3t) - 5 e-2t) t) 3 e4(+2)+5e −2(t+1) sin (2√3 1 -2t e ( 3 cos (2√3 (t+1)) + 2e6+3 )
Let y be the solution of the initial value problem
fy"+6y+5y=0
{y(0) = 1, y'(0) = -3
Then
y' (In(2)) + 3y(In(2))
y' (In(2)) + 3y (In(2))
y' (In(2)) + 3y (In(2))
y' (In(2)) + 3y(ln(2))
y' (In(2)) + 3y(ln(2))
3
=
32
15
=
8
3
=
16
15
=
2
15
=
32
Transcribed Image Text:Let y be the solution of the initial value problem fy"+6y+5y=0 {y(0) = 1, y'(0) = -3 Then y' (In(2)) + 3y(In(2)) y' (In(2)) + 3y (In(2)) y' (In(2)) + 3y (In(2)) y' (In(2)) + 3y(ln(2)) y' (In(2)) + 3y(ln(2)) 3 = 32 15 = 8 3 = 16 15 = 2 15 = 32
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