# NCERT Class 12-Mathematics: Chapter –9 Differential Equations Part 7

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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:**