Home
Class 12
MATHS
[" If "y=cos(2cos^(-1)x)" ,then prove th...

[" If "y=cos(2cos^(-1)x)" ,then prove that: "],[qquad (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)+4y=0]

Promotional Banner

Similar Questions

Explore conceptually related problems

If y=cos(mcos^(-1)x) , then prove that : (1-x^(2))(d^(2)y)/(dx^(2))-xdy/dx+m^(2)y=0 .

If y=cos(2sin^(-1)x) , then show that (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)+4y=0

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

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

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

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

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

If y=cos^(-1)x , then show that : (1-x^(2))(d^(2)y)/(dx^(2))-xdy/dx=0

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