NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations Ex 9.6 are part of NCERT Solutions for Class 12 Maths. Here we have given NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations Ex 9.6.

- 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 9.5

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 12 |

Subject |
Maths |

Chapter |
Chapter 9 |

Chapter Name |
Differential Equations |

Exercise |
Ex 9.6 |

Number of Questions Solved |
19 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations Ex 9.6

**Find the general solution of the following differential equations in Q.1 to 12**

**Question 1.**

**Solution:**

Given equation is a linear differential equation of the form ;

Here, P = 2, Q = sin x

**Question 2.**

**Solution:**

Here P = 3,

which is required equation

**Question 3.**

**Solution:**

**Question 4.**

**Solution:**

Here, P = secx, Q = tanx;

= sec x + tan x

i.e., The solu. is y.× I.F. = ∫Q × I.F. dx + c

or y × (secx+tanx) = ∫tanx(secx+tanx)dx+c

Reqd. sol. is

∴ y(secx + tanx) = (secx + tanx)-x + c

**Question 5.**

**Solution:**

⇒ integrating factor =

**Question 6.**

**Solution:**

Here P = and Q = x logx

**Question 7.**

**Solution:**

**Question 8.**

(1+x²)dy+2xy dx = cotx dx(x≠0)

**Solution:**

(1+x²)dy+2xy dx = cotx dx

**Question 9.**

**Solution:**

**Question 10.**

**Solution:**

**Question 11.**

**Solution:**

**Question 12.**

**Solution:**

**For each of the following Questions 13 to is find a particular solution, satisfying the given condition:**

**Question 13.**

**Solution:**

**Question 14.**

**Solution:**

**Question 15.**

**Solution:**

Here P = -3cot x

Q = sin 2x

**Question 16.**

Find the equation of the curve passing through the origin given that the slope of the tangent to the curve at any point (x,y) is equal to the sum of the coordinates of the point

**Solution:**

**Question 17.**

Find the equation of the curve passing through the point (0, 2) given that the sum of the coordinates of any point on the curve exceeds the magnitude of the slope of the tangent to the curve at that point by 5

**Solution:**

By the given condition

**Question 18.**

The integrating factor of the differential equation

(a)

(b)

(c)

(d) x

**Solution:**

(c)

**Question 19.**

The integrating factor of the differential equation (-1<y<1) is

(a)

(b)

(c)

(d)

**Solution:**

(d)

We hope the NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations Ex 9.6 help you. If you have any query regarding NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations Ex 9.6, drop a comment below and we will get back to you at the earliest.

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