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

## 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 – 10y3)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:

2x3y = x2 + 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 + y2)dx = (tan-1y – x)dy
Solution:

Question 5.
Solve: dx + x dy = e-y sec2 y dy
Solution: