Home
Class 11
MATHS
[" If,"y=(sec^(-1)x)^(2)," Prove that; "...

[" If,"y=(sec^(-1)x)^(2)," Prove that; "],[qquad x^(2)(x^(2)-1)((d^(2)y)/(dx^(2)))+(2x^(3)-x)(dy)/(dx)=2]

Promotional Banner

Similar Questions

Explore conceptually related problems

If y= (sec^(-1)x)^(2) , prove that x^(2)(x^(2)-1) (d^(2)y)/(dx^(2)) +x(2x^(2)-1) (dy)/(dx) -2=0 .

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

If y=e^("mcos"^(-1)x) , prove that: (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)=m^(2)y

If logy=tan^(-1)x , prove that : (1+x^(2)) (d^(2)y)/(dx^(2))+(2x-1)(dy)/(dx)=0

If y=log{x+sqrt(x^(2)+a^(2))}, prove that: (x^(2)+a^(2))(d^(2)y)/(dx^(2))+x(dy)/(dx)=0

If y^(3)-y=2x, then (x^(2)-(1)/(27))(d^(2)y)/(dx^(2))+x(dy)/(dx)=

If y=e^(mtan^(-1)x) , prove that : (1+x^(2))(d^(2)y)/(dx^(2))+(2x-m)dy/dx=0 .

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

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

If y=(cos^(-1)x)^(2) prove that (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)-2=0 . Hence find y_(2) when x=0