Solve the differential equation: y" – 21y' – 72y = e24= 1 e24x 24 -3z y = C1e + Cze²4z Oy = Cje-3 + Cze²4z 1 + 28 -3z 1 y = C¡e + Cze24z + 24x 26

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...
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Solve the differential equation:
y" – 21y – 72y = e?4z
1
e24x
24
-3x
y = C1e
+ Cze²4z
1
+ Cze24= +
28
-3x
y = C¡e
-3x
1
y =
+ Cze24z
re²4x
26
1
y = Ce 3« + C2e24= +
xe?4x
27
-3x
Transcribed Image Text:Solve the differential equation: y" – 21y – 72y = e?4z 1 e24x 24 -3x y = C1e + Cze²4z 1 + Cze24= + 28 -3x y = C¡e -3x 1 y = + Cze24z re²4x 26 1 y = Ce 3« + C2e24= + xe?4x 27 -3x
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