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## Tamilnadu Samacheer Kalvi 12th Maths Solutions Chapter 10 Ordinary Differential Equations Ex 10.7

Solve the following Linear differential equations:

Question 1.

Solution:

Dividing throughout by ‘cos x’

This is a linear differential equation of the type \(\frac{d y}{d x}\) + Py = Q

Where P = tan x,

Q = sec x

Question 2.

Solution:

Question 3.

Solution:

Question 4.

Solution:

Question 5.

(2x – 10y^{3})dy + ydx = 0

Solution:

Question 6.

Solution:

Question 7.

Solution:

Question 8.

Solution:

Question 9.

Solution:

Question 10.

Solution:

Question 11.

Solution:

2y = (x + a)^{4} + 2c(x + a)^{2}

Question 12.

Solution:

Question 13.

Solution:

Question 14.

Solution:

Question 15.

Solution:

2x^{3}y = x^{2} + 3

### Samacheer Kalvi 12th Maths Solutions Chapter 10 Ordinary Differential Equations Ex 10.7 Additional Problems

Question 1.

Solution:

Question 2.

Solution:

Question 3.

Solution:

Question 4.

Solve: (1 + y^{2})dx = (tan^{-1}y – x)dy

Solution:

Question 5.

Solve: dx + x dy = e^{-y} sec^{2} y dy

Solution: