Home
Class 12
MATHS
If x=sint and y=sinp t , prove that (1-x...

If `x=sint` and `y=sinp t ,` prove that `(1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)+p^2y=0.`

Promotional Banner

Topper's Solved these Questions

  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise EXERCISE-4 (Multiple choice type question)|10 Videos
  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Very Answer type Question|23 Videos
  • REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams E (Assertion - Reason Type )|2 Videos
  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion-Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

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

IF y=xsinx, prove that, x^2(d^2y)/(dx^2)-2xdy/dx+(2+x^2)y=0

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

If x=sint,y=sinkt(k ne0 , constant) then show that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)+k^2y=0 .

If e^y(x+1)=1 , prove that (d^2y)/(dx^2)=((dy)/(dx))^2

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

If x=cos t and y=log t , prove that at t=pi/2 , (d^2y)/(dx^2)+(dy/dx)^2=0 .

If y=e^x(sinx+cosx) , then prove that, (d^2y)/(dx^2)-2dy/dx+2y=0