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

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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’ + y² + y³ = 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