Skip to content
Philoid
Browse Saved
Back to chapter
Maths
All India-2017
Home · Class 12 · Maths · Ref. Book · All India-2017
Prev
Next
Q28 of 45 Page 1

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

The given equation is



This is a homogenous equation.


Now put y = vx


differentiate w.r.t x



∴ (1) becomes








Integrating both sides, we get-








put v = y/x





Now put y = 0 and x = 1





put the value of C in (2), we have-



This is the particular solution.


More from this chapter

All 45 →
27

Using the method of integration, find the area of the triangle ABC, coordinates of whose vertices are A (4, 1), B (6, 6) and C (8,4).

27

Find the area enclosed between the parabola 4y = 3x2 and the straight line 3x – 2y + 12 = 0.

29

Find the coordinates of the point where the line through the points (3, -4, -5) and (2, -3, 1), crosses the plane determined by the points (1,2,3), (4,2, -3) and (0,4, 3).

29

A variable plane which remains at a constant distance 3p from the origin cuts the coordinate axes at A, B, C. Show that the locus of the centroid of triangle ABC is

Questions · 45
All India-2017
1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 15 15 16 17 17 18 19 20 21 22 23 24 25 25 26 27 27 28 29 29 12 20 22 23 29 20 21 22 23 29
Back to chapter
ADVERTISEMENT
About Contact Privacy Terms
Philoid · 2026
  • Home
  • Search
  • Browse
  • Quiz
  • Saved