# NCERT Class 12-Mathematics: Chapter – 9 Differential Equations Part 7 (For CBSE, ICSE, IAS, NET, NRA 2023)

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**Question 11**:

If is a solution of and , then find the value of

**Answer**:

Given that,

On integrating both sides, we get

When then

On putting in Eq. (i) , we get

**Question 12**:

If is a solution of then show that

**Answer**:

Given that,

Dividing both sides by

Which is a linear differential equation.

On comparing it with we get

The complete solution is

The general solution is

When

**Question 13**:

Form the differential equation having , where A and B are arbitrary constants, as its general solution.

**Answer**:

**Question 14**:

Form the differential equation of all circles which pass through origin and whose centres lie on axis.

**Answer**:

**Question 15**:

Find the equation of a curve passing through origin and satisfying the differential equation

**Answer**:

**Question 16**:

Solve:

**Answer**: