A. Write FALSE if the statement if TRUE and TRUE if it is FALSE. 1. The degree of the differential equation (1+)³ = (d)² is 3. 2. The integrating factor of the differential equation (x log x) + y log x. 3. The degree of the differential equation +3 defined. dx² 2 (dx)² = x² log (1²4) dx² 2 log x is is not

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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THIS IS DIFFERENTIAL EQUATIONS SUBJECT.. I PROMISE ONLY HELPFUL RATING WILL BE GIVEN..

A. Write FALSE if the statement if TRUE and TRUE if it is FALSE..
3
2
1. The degree of the differential equation (1 + x)³ = (²)
dy
dx
2. The integrating factor of the differential equation (x log x) + y
=
dx
log x.
3. The degree of the differential equation
defined.
+3 (d)
(17) ²
5. The order of the differential equation [1
+
=
=x² log
=
is 3.
4. The integrating factor of the differential equation + ¼ = x² is log x.
(27) ²] ²³ -
dy
dx
d²y
dx²
8. The degree of the differential equation (14)³ + (11)²
dy
3
2
dx
dx²
d²y
dx²
is 4.
9. The order of the differential equation given in No. 8 is 2.
10. There are no arbitrary constants in a particular solution.
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.
= 0 is 3.
2 log x is
is not
Transcribed Image Text:A. Write FALSE if the statement if TRUE and TRUE if it is FALSE.. 3 2 1. The degree of the differential equation (1 + x)³ = (²) dy dx 2. The integrating factor of the differential equation (x log x) + y = dx log x. 3. The degree of the differential equation defined. +3 (d) (17) ² 5. The order of the differential equation [1 + = =x² log = is 3. 4. The integrating factor of the differential equation + ¼ = x² is log x. (27) ²] ²³ - dy dx d²y dx² 8. The degree of the differential equation (14)³ + (11)² dy 3 2 dx dx² d²y dx² is 4. 9. The order of the differential equation given in No. 8 is 2. 10. There are no arbitrary constants in a particular solution. 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. = 0 is 3. 2 log x is is not
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