Home
Class 12
MATHS
If 2x=y^(1/m)+y^(-1/m), show that (x^2-1...

If `2x=y^(1/m)+y^(-1/m)`, show that `(x^2-1)(d^2y)/(dx^2)+xdy/dx=m^2y`.

Promotional Banner

Topper's Solved these Questions

  • PRACTICE PAPER I

    CBSE COMPLEMENTARY MATERIAL|Exercise Section C|9 Videos

  • PRACTICE PAPER I

    CBSE COMPLEMENTARY MATERIAL|Exercise Section D|6 Videos

  • PRACTICE PAPER I

    CBSE COMPLEMENTARY MATERIAL|Exercise Section D|6 Videos

  • MATRICES AND DETERMINANTS

    CBSE COMPLEMENTARY MATERIAL|Exercise SIX MARK QUESTIONS|20 Videos

  • PRACTICE PAPER II

    CBSE COMPLEMENTARY MATERIAL|Exercise Section D|6 Videos

Similar Questions

Explore conceptually related problems

If y=(x+sqrt(x^(2)-1))^(m) , show that (x^(2)-1)(d^(2)y)/(dx^(2))+x(dy)/(dx)=m^(2)y

If y=sin(2sin^-1x) show that (1-x^2)(d^2y)/(dx^2)= xdy/dx-4y

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

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

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

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

If y={x +sqrt(x^(2)+1)}^(m) , then show that (x^(2)+1)(d^(2)y)/(dx^(2))+x(dy)/(dx)-m^(2)y=0.

(i) If y^(1//m) + y^(-1//m) = 2x then prove that (x^(2)-1) (d^(2)y)/(dx^(2)) + x (dy)/(dx) - m^(2)y =0 (ii) If y = ln (x + sqrt(1+x^(2)) , then prove that (1+x^(2)) (d^(2)y)/(dx^(2)) + x (dy)/(dx)=0

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

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