Home
Class 11
MATHS
If y=e^(acos^(-1)x),-1lt=x<1,s howt h a ...

If `y=e^(acos^(-1)x),-1lt=x<1,s howt h a t` `(1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)-a^2y=0`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

If y=e^(acos^(-1)x),-1lexle1 , show that : dy/dx=(-ae^(acos^(-1)x))/(sqrt(1-x^(2)))

If y=e^acos^((-1)x) , then prove that (1-x^2)y_2-x y_1-a^2y=0 .

If y = cos^(-1) ((2x)/(1 + x^(2))), - 1 lt x lt 1 " then " (dy)/(dx) is equal to

If y = 2tan^(-1)x+sin^(-1)((2x)/(1+x^(2))) , then "………"lt y lt "………" .

y = cos ^(-1)((2x)/(1 +x^(2))),-1 lt x lt1

If y=sec^(-1)(sqrt(1+x^(2))) , when -1 lt x lt 1, then find (dy)/(dx)

If y=tan^(-1)((2)/(e^(-x)-e^(x)))" then "(1+e^(2x))y_(1)=

If y=log(e^(-x)+xe^(-x))," then " (1+x)y_(1)=

If y=acos(lnx)+bsin(lnx) then prove that x^2y_3+3x y_2+2y_1=0