||'''Book'''|| Advanced Engineering Mathematics ||
 ||'''Author'''|| Erwin Kreyszig ||
 ||'''Edition'''|| 8th Edition ||

/* code_begins */

{{{
y=var('y')
y=function('y',x)
dy=diff(y,x,4)-16*y == 0
desolve_laplace(dy,y,x)
sol:

1/16*(4*D[0](y)(0) - D[0, 0, 0](y)(0))*sin(2*x) + 1/8*(4*y(0) - D[0,
0](y)(0))*cos(2*x) + 1/32*(8*y(0) - 4*D[0](y)(0) + 2*D[0, 0](y)(0) -
D[0, 0, 0](y)(0))*e^(-2*x) + 1/32*(8*y(0) + 4*D[0](y)(0) + 2*D[0,
0](y)(0) + D[0, 0, 0](y)(0))*e^(2*x)

1/16*(4*D[0](y)(0) - D[0, 0, 0](y)(0))*sin(2*x) + 1/8*(4*y(0) - D[0, 0](y)(0))*cos(2*x) + 1/32*(8*y(0) - 4*D[0](y)(0) + 2*D[0, 0](y)(0) - D[0, 0, 0](y)(0))*e^(-2*x) + 1/32*(8*y(0) + 4*D[0](y)(0) + 2*D[0, 0](y)(0) + D[0, 0, 0](y)(0))*e^(2*x)


}}}

/* code_ends */

 * '''Solution by''': 
   * <santosh>, <student>, <snist>
   * <>, <Profession>, <Organization>