The general solution of d2ydx2+y=0 is
Which of the following differential equations has y=c1ex+c2e−x as the general solution? (a) d2ydx2+y=0 (b) d2ydx2−y=0 (c) d2ydx2+1=0 (d) d2ydx2−1=0
The differential equation whose solution is y=c1 cos ax+c2 sin ax is (Where c1,c2 are arbitrary constants)
[MP PET 1996]