試卷名稱:106年 - 106 國立中山大學_碩士班招生考試_電機系(甲、己組)、電波領域:工程數學甲#125264
年份:106年
科目:中山◆電機◆工程數學甲
7. Consider the heat equation
, ∀0 < x < 1, t > 0
u(0,t) = u(1,t) = 0 ∀t > 0
u(x, 0) = f(x), ∀0 < x < 1
(A) the heat equation is nonlinear
(B) without considering the boundary condition, the general solution is
(C) suppose f(x) = 7 sin(3x), then the solution is u(x,t) =
(D) all of the above are true
(E) none of the above is true