Q18 of 45 Page 1

Find the particular solution of the differential equation given that y = 1 when x = 0.

We have,





Integrating both sides



t=1-y2


⇒dt=-2y dy






Putting y=1 when x=0


⇒


⇒ -1 = C


Therefore required particular solution is


More from this chapter

All 45 →
16

Find the intervals in which the function f(x) = 3x4 - 4x3 - 12x2 + 5 is

(a) strictly increasing


(b) strictly decreasing


OR


Find the equations of the tangent and normal to the curve x = a sin3 θ and y = a cos3 θ at

17

Evaluate:

OR


Evaluate:

19

Solve the following differential equation:

 20

Prove that, for any three vectors


OR


Vectors and are such that andandFind the angle between and