Find the general solution of the given equation on (0,[infinity]).
a) (y=yₚ+c₁y₁+c₂y₂+⋅), where (y₁=e²ˣ, y₂=e⁴ˣ)
b) (y=yₚ+c₁y₁+c₂y₂+⋅), where (y₁=x², y₂=x⁴)
c) (y=yₚ+c₁y₁+c₂y₂+⋅), where (y₁=sin(3x), y₂=cos(3x))
d) (y=yₚ+c₁y₁+c₂y₂+⋅), where (y₁=e³ˣ, y₂=e⁵ˣ)