Home
Class 12
MATHS
If y = 3 cos (log x) + 4 sin (log x) sho...

If `y = 3 cos (log x) + 4 sin (log x)` show that `x^2 y_2 + xy_1 + y = 0`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (Short Answer Type Questions)(Section XI)|6 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (Long Answer Type Questions)(Section XII)|4 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (Short Answer Type Questions)(Section IX)|6 Videos
  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE |73 Videos
  • DETERMINANTS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (PREVIOUS YEAR.S BOARD QUESTIONS FOR PRACTICE )|45 Videos

Similar Questions

Explore conceptually related problems

Find the second order derivative of the following functions If y = a cos (log x) + b sin (log x), prove that x^2y_2 + xy_1 + y = 0 .

If y= a cos (log x)+b sin (log x) , show that x^(2) (d^(2)y)/(dx^2)+x(dy)/(dx)+y=0 .

If y = (cos^-1 x)^2 show that (1-x^2)^2 y_2 -xy_1 = 2

If y = a sin (log x) + b cos (log x) , then prove that : x^2 d^2y/dx^2+ x dy/dx+ y = 0 .

If y=e^(a cos^-1x), -1lexle1 show that: (1 - x^2) y_2 - xy_1-a^2y = 0

y = e^(m sin^(-1)x), prove that (1 - x^2) y_2 - xy_1 = m^2y

If y = x log (x/(a+bx)) , prove that x^3 y _2 = (xy_1 - y)^2