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**

**Question 1.**

(x²+xy)dy = (x²+y²)dx

**Solution:**

(x²+xy)dy = (x²+y²)dx

**Question 2.**

**Solution:**

**Question 3.**

(x-y)dy-(x+y)dx=0

**Solution:**

**Question 4.**

(x²-y²)dx+2xy dy=0

**Solution:**

**Question 5.**

**Solution:**

**Question 6.**

**Solution:**

**Question 7.**

**Solution:**

**Question 8.**

**Solution:**

**Question 9.**

**Solution:**

**Question 10.**

**Solution:**

**For each of the following differential equation in Q 11 to 15 find the particular solution satisfying the given condition:**

**Question 11.**

(x + y) dy+(x – y)dx = 0,y = 1 when x = 1

**Solution:**

given

(x + y) dy+(x – y)dx = 0

**Question 12.**

x²dy+(xy+y²)dx=0, y=1 when x=1

**Solution:**

f(x,y) is homogeneous

∴ put y = vx

**Question 13.**

**Solution:**

**Question 14.**

**Solution:**

which is a homogeneous differential equation

**Question 15.**

**Solution:**

…(i)

**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

**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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