If y=a cos ( log x )+ bsin (log x) wher...

If ` y=a cos ( log x )+ bsin (log x) where a ,b are ` parameters ,then ` x^(2) y''+ xy '=`

A

y

B

`-y`

C

2y

D

`-2y`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

y = A cos (log x) + B sin (log x)

If y = a cos (log x) -b sin (log x), thenx ^ (2) y_ (2) + xy_ (1) + y =

If y =3 cos (log x) + 4 sin (log x), then x ^(2) (d ^(2) y )/( dx ^(2)) + x (dy)/(dx) =

if y=a sin (log x) + b cos (log x ) , then the differential equation without the parameter a and b is

If y=3cos(log x)+4sin(log x), prove that x^(2)y_(2)+xy_(1)+y=0

Show that y=a cos(log x)+b sin(log x) is a solution of the differential equation x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx)+y=0

If y=A cos(log x)+B sin(log x), prove that x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx)+y=0

If y = a cos (ln x)+ b sin (ln x) , then x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx)=

If log (x+y) =log (xy ) +a, then (dy)/(dx) =