Home
Class 12
MATHS
यदि y = (x + sqrt(x^(2) + 1))^(m), तो सि...

यदि `y = (x + sqrt(x^(2) + 1))^(m)`, तो सिध्द कीजिए कि `(x^(2) + 1) (d^(2)y)/(dx^(2))+x(dy)/(dx)-m^(2)y = 0`

Promotional Banner

Similar Questions

Explore conceptually related problems

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.

If y=log (x + sqrt(x^(2) + 1)) then show that, (x^(2) + 1) (d^(2)y)/(dx^(2)) + x (dy)/(dx)= 0

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

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

If y=(x+sqrt(1+x^(2)))^(n) , then (1+x^(2))(d^(2)y)/(dx^(2))+x(dy)/(dx) is equal to -

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

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