Plus Two Maths Chapter Wise Previous Questions Chapter 9 Differential Equations are part of Plus Two Maths Chapter Wise Previous Year Questions and Answers. Here we have given Plus Two Maths Chapter Wise Previous Chapter 9 Differential Equations.

## Kerala Plus Two Maths Chapter Wise Previous Questions and Answers Chapter 9 Differential Equations

Question 1.

Find the general solution of the differential equation x +2y = x^{2} log x **. [March-2018] **Answer:

Question 2.

a. The degree of the differential equation

i. 4

ii.3

iii. 2

iv.1

b. Find the general solution of the differential equation sec^{2} x tan y dx + sec^{2} y tan x dy = 0. **[March-2018] **Answer:

a. iii. 2

b. sec

^{2}x tan y dx + sec

^{2}y tan x dy = 0

sec

^{2}y tan x dy = -sec

^{2}x tan y dx

log|tan y| = -log | tan x| + log k

i.e: log | tan y | + log | tan x |= log k

log |tan x tan y| = log k

⇒ |tan x tan y| = k

tan x tan y = + k

tan x tan y = c, where c= ± k tan x tan y = c,

where c= ± is the required general solution.

Question 3.

a. The order of the differential equation

a.1

b. 3

c. 4

d. 2

b. Find the particular solution of the differential equation **[March-2017]**

Answer:

a. 2

b. The question is incorrect.

The question may be in the form

Question 4.

a. y=a cos x+b sin x is the solution of differential equation.

b. Find the solution of the differential equation given that y=0 when x=1** [March-2016] **Answer:

Question 5.

a. Consider the family of all circles having their center at the point (1,2). Write the equation of the family. Write the corresponding differential equation.

b. Write the integrating factor of the different equation

**[March-2015] **Answer:

Question 6.

Consider the differential equation

a. What is its integrating factor?

b. Obtain its general solution.**[March 2014] **Answer:

Question 7.** **a. The general solution of the differential equation

a. e

^{y}+ e

^{x}= C

b. e

^{y}– e

^{x}= C

c. e

^{-y}+e

^{-x}= C

d. e

^{-y}– e

^{-x}= C

b. Solve the differential equation

**[March-2013]**

Answer:

Question 8.

Prove that the differential equation (3xy+ y^{2}) dx + (x^{2} + xy) dy = 0 is a homogeneous differential equation of

degree zero. Solve the differential equation. ** [June-2012] **Answer:

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