6. The degree of the differential equation in No. 5 is is 1. 7. The order of the differential equation representing the family of parabolas y² = 4ax is 1. 3 3. 8. The degree of the differential equation (1) ³+ (1²)² ·(1½)² = 0 is : 9. The order of the differential equation given in No. 8 is 2. 10. There are no arbitrary constants in a particular solution.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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ANSWER 6-10 ONLY!!!

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3
2
1. The degree of the differential equation (1 + d )³ = (²) ² is 3.
dy
dx
dy
2. The integrating factor of the differential equation (x log x) + y =
log x.
2
d'y
dy
3. The degree of the differential equation +3 (d)
dx
defined.
4. The integrating factor of the differential equation
=
: x² log (²) is not
dx²
+¼/= x² is log x.
5. The order of the differential equation
l equation [1+ (1) ²² — —
dy
d²y
=
dx
dx2
=
6. The degree of the differential equation in No. 5 is is 1.
7. The order of the differential equation representing the family of parabolas
y²
4ax is 1.
3
2
8. The degree of the differential equation (d)³ + (²
dy
dx
is 4.
2 log x is
= 0 is 3.
9. The order of the differential equation given in No. 8 is 2.
10. There are no arbitrary constants in a particular solution.
Transcribed Image Text:3 2 1. The degree of the differential equation (1 + d )³ = (²) ² is 3. dy dx dy 2. The integrating factor of the differential equation (x log x) + y = log x. 2 d'y dy 3. The degree of the differential equation +3 (d) dx defined. 4. The integrating factor of the differential equation = : x² log (²) is not dx² +¼/= x² is log x. 5. The order of the differential equation l equation [1+ (1) ²² — — dy d²y = dx dx2 = 6. The degree of the differential equation in No. 5 is is 1. 7. The order of the differential equation representing the family of parabolas y² 4ax is 1. 3 2 8. The degree of the differential equation (d)³ + (² dy dx is 4. 2 log x is = 0 is 3. 9. The order of the differential equation given in No. 8 is 2. 10. There are no arbitrary constants in a particular solution.
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