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