NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations Ex 9.5 are part of NCERT Solutions for Class 12 Maths. Here we have given NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations Ex 9.5.
- Differential Equations Class 12 Ex 9.1
- Differential Equations Class 12 Ex 9.2
- Differential Equations Class 12 Ex 9.3
- Differential Equations Class 12 Ex 9.4
- Differential Equations Class 12 Ex 9.6
Board | CBSE |
Textbook | NCERT |
Class | Class 12 |
Subject | Maths |
Chapter | Chapter 9 |
Chapter Name | Differential Equations |
Exercise | Ex 9.5 |
Number of Questions Solved | 17 |
Category | NCERT Solutions |
NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations Ex 9.5
Show that the given differential equation is homogeneous and solve each of them in Questions 1 to 10
Ex 9.5 Class 12 Maths Question 1.
(x²+xy)dy = (x²+y²)dx
Solution:
(x²+xy)dy = (x²+y²)dx
Ex 9.5 Class 12 Maths Question 2.
Solution:
Ex 9.5 Class 12 Maths Question 3.
(x-y)dy-(x+y)dx=0
Solution:
Ex 9.5 Class 12 Maths Question 4.
(x²-y²)dx+2xy dy=0
Solution:
Ex 9.5 Class 12 Maths Question 5.
Solution:
Ex 9.5 Class 12 Maths Question 6.
Solution:
Ex 9.5 Class 12 Maths Question 7.
Solution:
Ex 9.5 Class 12 Maths Question 8.
Solution:
Ex 9.5 Class 12 Maths Question 9.
Solution:
Ex 9.5 Class 12 Maths Question 10.
Solution:
For each of the following differential equation in Q 11 to 15 find the particular solution satisfying the given condition:
Ex 9.5 Class 12 Maths Question 11.
(x + y) dy+(x – y)dx = 0,y = 1 when x = 1
Solution:
given
(x + y) dy+(x – y)dx = 0
Ex 9.5 Class 12 Maths Question 12.
x²dy+(xy+y²)dx=0, y=1 when x=1
Solution:
f(x,y) is homogeneous
∴ put y = vx
Ex 9.5 Class 12 Maths Question 13.
Solution:
Ex 9.5 Class 12 Maths Question 14.
Solution:
which is a homogeneous differential equation
Ex 9.5 Class 12 Maths Question 15.
Solution:
…(i)
Ex 9.5 Class 12 Maths Question 16.
A homogeneous equation of the form can be solved by making the substitution,
(a) y=vx
(b) v=yx
(c) x=vy
(d) x=v
Solution:
(c) option x = vy
Ex 9.5 Class 12 Maths Question 17.
Which of the following is a homogeneous differential equation?
(a) (a) (4x + 6y + 5)dy-(3y + 2x + 4)dx = 0
(b)
(c)
(d)
Solution:
(d)
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