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## Tamilnadu Samacheer Kalvi 12th Maths Solutions Chapter 10 Ordinary Differential Equations Ex 10.1

Question 1.

For each of the following differential equations, determine its order, degree (if exists)

Solution:

Order = 1,

Degree = 1

(ii)

Solution:

(iii)

Solution:

(iv)

Solution:

(v)

Solution:

(vi)

Solution:

(vii)

Solution:

(viii)

Solution:

Order = 2

(ix)

Solution:

(x)

Solution:

Order = 1,

degree = Not exist

### Samacheer Kalvi 12th Maths Solutions Chapter 10 Ordinary Differential Equations Ex 10.1 Additional Problems

Question 1.

Find the order and degree of the following differential equations:

Solution:

Order = 1,

Degree = 1

(ii) y’ + y^{2} + y^{3} = 0

Solution:

Order = 1,

Degree = 1

(iii)

Solution:

(iv)

Solution:

∴ Order = 2

Degree = 2

(v)

Solution:

(vi)

Solution:

(vii)

Solution:

(viii)

Solution:

(ix)

Solution:

(x) sin x(dx + dy) = cos x(dx – dy)

Solution:

Order = 1;

Degree = 1