℗ Solve the following ODES by Undetermined Coeff. в +у= y-2y +y = esinx Ans: y = ₁₂e + ₂ xe - è sin X

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 following ODES by Undetermined Coeff.
y - 2y +y = esinx Ans: Y=Gê + C₂ xe - è sinx
X
6
y=G₁
2 2X
●
"Y + 5y + 4y = x 2²
●
4X
"y - 16 y = 19.2 e
1
-4X
-X 2X
Ans: y=C₁e + C₂e²+ e (
+
X
+ 60 e
+
₂ y(a) = Y(u) =
4X
-4X
4X
Ans: Y= 2.2e +18e +214xe
2
$8 18
324)
-
4e
-X
Transcribed Image Text:Solve the following ODES by Undetermined Coeff. y - 2y +y = esinx Ans: Y=Gê + C₂ xe - è sinx X 6 y=G₁ 2 2X ● "Y + 5y + 4y = x 2² ● 4X "y - 16 y = 19.2 e 1 -4X -X 2X Ans: y=C₁e + C₂e²+ e ( + X + 60 e + ₂ y(a) = Y(u) = 4X -4X 4X Ans: Y= 2.2e +18e +214xe 2 $8 18 324) - 4e -X
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