Home
Class 12
MATHS
If y= e^(cos^(-1)x), -1 le x le 1, then ...

If `y= e^(cos^(-1)x), -1 le x le 1`, then prove that `(1-x^(2)) (d^(2)y)/(dx^(2))-x (dy)/(dx)- y= 0`

Answer

Step by step text solution for If y= e^(cos^(-1)x), -1 le x le 1, then prove that (1-x^(2)) (d^(2)y)/(dx^(2))-x (dy)/(dx)- y= 0 by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper -5 (Section-C)|10 Videos

  • BOARD'S QUESTION PAPER MARCH - 2020

    KUMAR PRAKASHAN|Exercise PART - B (Section - C)|4 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

If y= sin^(-1)x then prove that (1-x^(2))(d^(2)y)/(dx^(2))-x (dy)/(dx)=0

If y= sin^(-1)x , show that (1 -x^(2)) (d^(2)y)/(dx^(2))-x (dy)/(dx)=0

If y= sin^(-1)x , show that (1-x^(2)) (d^(2)y)/(dx^(2))-x(dy)/(dx)0 .

If y = e^(a cos^(-1)x) show that (1-x^(2)) (d^(2)y)/(dx^(2))-x (dy)/(dx) -a^(2)y= 0 . Where -1 le x le 1

If y=Acos(logx)+B sin(logx) then prove that x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx)+y=0 .

If y=xlog(x/(a+bx)) , then prove that x^3(d^2y)/(dx^2)=(x(dy)/(dx)-y)^2

If y= 3e^(2x) + 2e^(3x) , prove that (d^(2)y)/(dx^(2))-5 (dy)/(dx) + 6y= 0

If y= e^(tan x) then show that, (cos^(2)x) (d^(2)y)/(dx^(2))- (1+ sin 2x) (dy)/(dx)=0

If y=log (x + sqrt(x^(2) + 1)) then show that, (x^(2) + 1) (d^(2)y)/(dx^(2)) + x (dy)/(dx)= 0

(x + y )(dy)/(dx) = 1

Home
Profile