1. x sin y+x2y = c 2. 3x²xy² + c = 3. cx²+x+ y² = c h 4. y = mx + ; hi a parameter, m to be eliminated 5. y² = 4ax - m 6. y = ax² + bx + c 3x 7. y=4+ C₂e³x 8. y = c₁e ax cos bx + c₂eax sin bx; a and b are parameters 9. y = c₁x² + C₂e²x 10. y = ce* +C xe*
1. x sin y+x2y = c 2. 3x²xy² + c = 3. cx²+x+ y² = c h 4. y = mx + ; hi a parameter, m to be eliminated 5. y² = 4ax - m 6. y = ax² + bx + c 3x 7. y=4+ C₂e³x 8. y = c₁e ax cos bx + c₂eax sin bx; a and b are parameters 9. y = c₁x² + C₂e²x 10. y = ce* +C xe*
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
In each of the following eliminate the arbitrary constants. Use at least two (2) methods for each number
a.
b. isolation of constant
c.determinant method

Transcribed Image Text:1. x sin y+x2y = c
2. 3x²xy² + c
=
3. cx²+x+ y² = c
h
4. y = mx + ; hi a parameter, m to be eliminated
5. y² = 4ax
-
m
6. y = ax² + bx + c
3x
7. y=4+ C₂e³x
8. y = c₁e ax cos bx + c₂eax sin bx; a and b are parameters
9. y = c₁x² + C₂e²x
10. y = ce* +C xe*
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