[" If "y=a cos(log x)+b sin(log x)" -where "a,b" are parameters,then "],[x^(a)y^(-)+xy^(+)=]

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

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

If y=a cos(log x)+b sin(logx) , Prove that x^2y_2+xy_1+y=0 .

If y = cos(log sin x), then dy/dx =

Form the differential equations corresponding to the family of curves. (i) y = c(x-2c) where c is a parameter. (ii) y = a cos 3x + b sin 3x where a, b are parameters. (iii) y = a cos x + b sin x where a, b are parameters. (iv) y = a e^(x) + b e^(-x) where a, b are parameters.

If y =a cos (log x) + b sin (log x) then x ^(2) y _(2) + xy _(1)+y=

If y=3 cos (log x)+4 sin (log x) Show that x^2 y_2+x y_1+y=0

If y= a cos (log x)+b sin (log x) , show that x^(2) (d^(2)y)/(dx^2)+x(dy)/(dx)+y=0 .

If y = a cos(logx) + b sin(log x) , show that, x^2(d^2y)/(dx^2)+x(dy)/(dx) + y = 0

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