NCERT Class 12-Mathematics: Chapter – 9 Differential Equations Part 8 (For CBSE, ICSE, IAS, NET, NRA 2023)

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Question 17:

Find the general solution of the differential equation

Answer:

Question 18:

Find the general solution of .

Answer:

Given, differential equation is

Dividing both sides by

Which is a homogeneous differential equation

On substituting these value in Eq. (i) , we get

On integrating both sides, we get

Question 19:

Solve: . [Hint: Substitute after separating and

Answer:

Question 20:

Solve:

Answer:

Question 21:

Solve the differential equation dx given that when

Answer:

Question 22:

Form the differential equation by eliminating A and B in .

Answer:

Question 23:

Solve the differential equation .

Answer:

Question 24:

Find the differential equation of system of concentric circles with centre .

Answer:

On differentiating Eq. (i) , we get