所屬科目：研究所、轉學考(插大)◆工程數學
(a)What is the rank of A?
(b)Calculate
(c) Diagonalize A
(d)Calculate
2. Solve (6x6 - x²y) + (-x³ + x²y²)y' = 0, with y(0) = 3
3. Solve y" + 4y = r(t)
r(t) = |t|, -π ≤ t ≤ π, r(t) = r(t + 2π)
(a)Find the steady-state solution
(b) Solve u(x, t)
(hint: you may want to transform the given heat problem by v(x, t) = u(x, t) - )
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