Home
Class 12
MATHS
यदि y=e^(a cos^(-1)x), -1 le x le 1, तो ...

यदि `y=e^(a cos^(-1)x), -1 le x le 1`, तो दर्शाइए कि
`(1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)-a^(2)y=0`

Promotional Banner

Similar Questions

Explore conceptually related problems

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 .

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 .

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 .

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

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

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

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

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

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