Determine the solution of the following equations: 1. (x*D² + 2xD- 2)y = 4 + x² 2. (x'D³ +3X°D² +xD - 8)y = 7x– 4

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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ASSIGNMENT 22: THE EULER'S EQUATION
Determine the solution of the following equations:
1. (X²D² + 2xD- 2)y = 4+x²
2. (x'D³ +3X²D² +xD- 8)y = 7x– 4
Answers:
x²
1. y =-2+ + cıx +c2x
4
1
2. y =-x++cıx² +x'(c2cos 3 In x+c3 sin 3 In x)
Transcribed Image Text:ASSIGNMENT 22: THE EULER'S EQUATION Determine the solution of the following equations: 1. (X²D² + 2xD- 2)y = 4+x² 2. (x'D³ +3X²D² +xD- 8)y = 7x– 4 Answers: x² 1. y =-2+ + cıx +c2x 4 1 2. y =-x++cıx² +x'(c2cos 3 In x+c3 sin 3 In x)
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