Home
Class 12
MATHS
If y=e^(acos^-1x)(-1lexle1), show that ,...

If `y=e^(acos^-1x)(-1lexle1)`, show that ,
`(1-x^2)(d^2y)/(dx^2)-xdy/dx-a^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=e^(msin^-1x)(-1lexle1) , Prove that, (1-x^2)(d^2y)/(dx^2)-xdy/dx=m^2y .

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

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

Let y=(sin^-1x)^2+(cos^-1x)^2 , show that, (1-x^2)(d^2y)/(dx^2)-xdy/dx=4

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

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

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

answer the foll. Questions: (i) if y=(sin^(-1)x)/(sqrt(1-x^2)) , then show that (1-x^2) (d^2y)/dx^2-3x dy/dx -y=0

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

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