NCERT Class 12-Mathematics: Chapter –9 Differential Equations Part 6

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9.3 EXERCISE

Short Answer (S.A)

Question 1:

Find the solution of

Answer:

Given that,

On integrating both sides, we get

Question 2:

Find the differential equation of all non-vertical lines in a plane.

Answer:

Since, the family of all non-vertical line is , where

On differentiating we get

Again, differentiating we get

Question 3:

Given that and when .

Find the value of when .

Answer:

Question 4:

Solve the differential equation

Answer:

Question 5:

Solve the differential equation

Answer:

Question 6:

Find the general solution of

Answer:

Question 7:

Solve the differential equation

Answer:

Question 8:

Solve: .

Answer:

Question 9:

Solve the differential equation

Answer:

Question 10:

Find the general solution of

Answer:

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