Find the general solutions of the following differential equations. d²y_2 - 2 + 4y = 0 (a) dx? d'y dx? dy dy (b) -2 - + y = 0 dx dx (c) dx? d²y dy +3+3y = 0 dx d²y dy - 3y = 0 dx dx?

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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Find the general solutions of the following differential equations.
d'y
- 2 dy + 4y = 0
d'y
2 + y = 0
dy
(а)
+4y= 0
(b)
dx?
dx
dx?
dx
d'y
dy
dy dy
+3 +3y = 0
-3y =0
dx
(c)
dx?
dx
dx²
Transcribed Image Text:Find the general solutions of the following differential equations. d'y - 2 dy + 4y = 0 d'y 2 + y = 0 dy (а) +4y= 0 (b) dx? dx dx? dx d'y dy dy dy +3 +3y = 0 -3y =0 dx (c) dx? dx dx²
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