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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 d +3 (d) dx defined. = 2 log x is x² log() is not = 4. The integrating factor of the differential equation + 1/2 x² is log x. 5. The order of the differential equation [1 + (4) ²² [¹ + ( #)²]³² — — is 4. dy d²y = dx dx2

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 d +3 (d) dx defined. = 2 log x is x² log() is not = 4. The integrating factor of the differential equation + 1/2 x² is log x. 5. The order of the differential equation [1 + (4) ²² [¹ + ( #)²]³² — — is 4. dy d²y = dx dx2

Advanced Engineering Mathematics
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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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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