Elimination of Arbitrary Constants 1. Cy²=x²+y 2. x Asin(@t+B) Where, o being a parameter not to be eliminated. 3. x=c₁cos oot + c₂sin ot Where, o being a parameter not to be eliminated. 1 4. y²= 2sinx+Ccosx 5. yC2x=1 6. √1+x+1=C√1+ y 7. Ce* = arcsin x + arcsin y 8. y=C(x-C)² 9. y=c₁e* + c₂e²x + С3e³x 10. y=c₁e*sinx+ c₂e²xcos2x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Elimination of Arbitrary Constants
1. Cy²=x²+y
2. x=Asin(wt+B)
Where, o being a parameter not to be eliminated.
3. x=c₁cos oot + c₂sin ot
Where, o being a parameter not to be eliminated.
1
4. y²= 2sinx+CcoSX
5. yC2x=1
6.
√1+x+1=C₂√1+y
7. Ce = arcsin x + arcsin y
8. y=C(x-C)²
9. y=c₁ex+ c₂e²x + c3e³x
10. y=c₁e*sinx+ c₂e²x cos2x
Transcribed Image Text:Elimination of Arbitrary Constants 1. Cy²=x²+y 2. x=Asin(wt+B) Where, o being a parameter not to be eliminated. 3. x=c₁cos oot + c₂sin ot Where, o being a parameter not to be eliminated. 1 4. y²= 2sinx+CcoSX 5. yC2x=1 6. √1+x+1=C₂√1+y 7. Ce = arcsin x + arcsin y 8. y=C(x-C)² 9. y=c₁ex+ c₂e²x + c3e³x 10. y=c₁e*sinx+ c₂e²x cos2x
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