Ex. (7) Sol:- Solve y" +y'+y=6sin (2x) ➤ For y y"+y' + y = 0 Homogeneous [6sin (2x)=0] m² +m+1=0 1 √3 m 2 y. > For y, 22 c, cos How solve thw step? D² -k²; •NS 6sin (2x); Br (2)² = -4 ⇒ D² = -4 y,=[12-cos(2x)+18-sin (2x)] ZeyJbraheem Fot

Calculus: Early Transcendentals
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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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Ex. (7)
Sol:-
Solve y"+y'+y=6sin(2x)
➤ For y
y"+y' + y = 0 Homogeneous [6sin (2x)=0]
m² +m+1=0
1√3
m=
2
y
> For y,
22
c, cos
How solve thw step?
D² -k²;
• NO
6sin (2x);
Br
(2) = 4 ⇒ D² = -4
y,=[12-cos (2x)+18-sin (2x)]
Yas = y₂ + y₂
ZeyJbraheem
(906
Pa
Transcribed Image Text:Ex. (7) Sol:- Solve y"+y'+y=6sin(2x) ➤ For y y"+y' + y = 0 Homogeneous [6sin (2x)=0] m² +m+1=0 1√3 m= 2 y > For y, 22 c, cos How solve thw step? D² -k²; • NO 6sin (2x); Br (2) = 4 ⇒ D² = -4 y,=[12-cos (2x)+18-sin (2x)] Yas = y₂ + y₂ ZeyJbraheem (906 Pa
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