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

In each of the following examples verify that the given function is a solution of the corresponding differential equation(2) y=A cos(log x)+B sin (log x),x^2 d^2y/dx^2+x dy/dx+y=0

The differential equation obtained by eliminating arbitrary constants A and B from y=A cos(log x)+B sin(log x) is

If y= A cos(log x) + B sin(log x) , show that x^2 y_2 + xy_1 + y =0

If y= A cos (log x) + B sin(log x) , show that x^2 y_2 + xy_1 + 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

a) Find (dy/dx) if i) y=sin (x^3+7) ii) x=a(t-sin t), y=a(1-cos t) b) If y=a cos (log x)+b sin (log x) Prove that x^2 (d^2 y)/(d x^2)+x (dy/dx)+y=0

int [ sin(log x) + cos(log x)] dx=........... A) x cos(log x) + c B) sin(log x) + c C) cos(log x) + c D) x sin(log x) + c

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

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

If y = a cos (log x) + b sin (log x) , show that x^(2) y_(2) + xy_(1) + y = 0 .