Question 4 Find the general solution to the linear homogeneous differential equa y′ − 5y' + 6y = 0. - 21 |0y=c₁e²¹ +₂e ³ 3.z Oy=c₁e -6x + c₂e² Oy=c₁e²² + c₂e³z Oy=q₁e-³¹ + c₂e Dp = cel= + c₂e¯º

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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Question 4
A
Find the general solution to the linear homogeneous differential equa
y' – 5y' + 6y = 0.
Oy=c₁e-2
+
-2² +₂e ³²
Oy=c₁e-fix + c₂e²
©y=c;e² +c₂e³
Oy=qe-őr + cze z
Oy-a
62
Question 5
C₂e
HR
Find the general solution to the linear homogeneous differential equa
y' – 6y + 9y – 0.
© y = ¢₁e³³ cos x + c₂re³" sin 7
© y = q₁e³ + c₂te
|() y = c₁e¹³ª cos(3r) – c₂c ³¹ sin(32)
O y = ¢₁e³z + c₂ae³™
Oy=ge ³ -que ³
e-3.z
Transcribed Image Text:Question 4 A Find the general solution to the linear homogeneous differential equa y' – 5y' + 6y = 0. Oy=c₁e-2 + -2² +₂e ³² Oy=c₁e-fix + c₂e² ©y=c;e² +c₂e³ Oy=qe-őr + cze z Oy-a 62 Question 5 C₂e HR Find the general solution to the linear homogeneous differential equa y' – 6y + 9y – 0. © y = ¢₁e³³ cos x + c₂re³" sin 7 © y = q₁e³ + c₂te |() y = c₁e¹³ª cos(3r) – c₂c ³¹ sin(32) O y = ¢₁e³z + c₂ae³™ Oy=ge ³ -que ³ e-3.z
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