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


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


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


Question 13:

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


Question 14:

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


Question 15:

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


Question 16: