Q15 of 45 Page 1

Find the particular solution, satisfying the given condition, for the following differential equation:

y = 0 when x = 1

Given differential equation is



This is a homogenous differential equation,


Put


⇒ y = vx



∴ we have





⇒ log x = - (- cos v) + C


⇒ log x = cos v + C



Now, y = 0, when x = 1



⇒ 0 = - 1 + C


⇒ C = -1


Hence, particular solution is



More from this chapter

All 45 →
13

Find the value of λ so that the lines and are perpendicular to each other.

 14

Solve the following differential equation:

 16

By using properties of determinants, prove the following:

 17

A die is thrown again and again until three sixes are obtained. Find the probability of obtaining the third six in the sixth throw of the die.