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# Class 12 NCERT Solutions- Mathematics Part II – Chapter 9 Differential Equations-Exercise -9.1

### Question 1.

Solution:

Given:

Here the order is 4 and degree is not defined because it is not a polynomial function.

### Question 2. y’ + 5y = 0

Solution:

Given: y’ + 5y = 0

Here, the order is 1 and the degree is also 1.

### Question 3.

Solution:

Given:

Here, the order is 2 and the degree is 1.

### Question 4.

Solution:

Given:

Here, the order is 2 and degree is not defined because it is not a polynomial function.

### Question 5.

Solution:

Given:

Here, the order is 2 and degree is 1.

### Question 6. (y”’)2 + (y”)3 + y(‘)4 + y5 = 0

Solution:

Given: (y”’)2 + (y”)3 + y(‘)4 + y5 = 0

The order is 3 and the degree is 2.

### Question 7. y” + 2y” + y’ = 0

Solution:

Given: y”’ + 2y” + y’ = 0

The order is 3 and the degree is 1

### Question 8. y’ + y = ex

Solution:

Given: y’ + y = ex

The order is 1 and the degree is 1.

### Question 9. y” + (y’)2 + 2y = 0

Solution:

Given: y” + (y’)2 + 2y = 0

The order is 3 the degree is 1

### Question 10. y” + 2y’ + sin y = 0

Solution:

Given: y” + 2y’ + sin y = 0

The order is 2 and the degree is one.

### (A) 3          (B) 2          (C) 1          (D) Not defined

Solution:

Given:

Here, the degree is not defined.

So, the correct option is D.

### (A) 3          (B) 2          (C) 1           (D) Not defined

Solution:

Given:

Here, the order is 2.

So, the correct option is A.

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