Home
Class 12
MATHS
" EXAMPLE "4quad " If "y=A cos(log x)+B ...

" EXAMPLE "4quad " If "y=A cos(log x)+B sin(log x)," prove that "x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx)+y=0

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

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

If y=sin(log x), then prove that (x^(2)d^(2)y)/(dx^(2))+x(dy)/(dx)+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=x sin(log x)+x log x, prove that x^(2)(d^(2)y)/(dx^(2))-x(dy)/(dx)+2y=x log x

If y=3cos(log x)+4sin(log x), then show that x^(2)*(d^(2)y)/(dx^(2))+(dy)/(dx)+y=0

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