# NCERT Class 12-Mathematics: Chapter –9 Differential Equations Part 6

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## 9.3 EXERCISE

### Short Answer (S.A)

**Question 1:**

Find the solution of

**Answer:**

Given that,

On integrating both sides, we get

**Question 2:**

Find the differential equation of all non-vertical lines in a plane.

**Answer:**

Since, the family of all non-vertical line is , where

On differentiating we get

Again, differentiating we get

**Question 3:**

Given that and when .

Find the value of when .

**Answer:**

**Question 4:**

Solve the differential equation

**Answer:**

**Question 5:**

Solve the differential equation

**Answer:**

**Question 6:**

Find the general solution of

**Answer:**

**Question 7:**

Solve the differential equation

**Answer:**

**Question 8:**

Solve: .

**Answer:**

**Question 9:**

Solve the differential equation

**Answer:**

**Question 10:**

Find the general solution of

**Answer:**