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

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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 – 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: