1.
_ _ _ _ _ _
| -2 3 | | x1(t) | | x1''(t) |
A =| | X(t)= | | X''(t)= | |
|_ -6 7 _| |_x2(t) _| |_ x2''(t) _|
_ _
| 2+e^3t |
,G(t) = | |
|_ 2+2e^3t _| ,Solve the system X''(t)=AX(t)+G(t)
ans: y1(t)=c1e^t+c2^-t -2
y2(t)=c3e^2t+c4e^-2t + e^3t/5
我是這樣寫的,但在這不好顯示所以我列程式碼,跑出來的程式就不列了(反正最後跑出來
結果不對)
MatrixForm[A = {{-2, 3}, {-6, 7}}]
MatrixForm[v = {{x''[t]}, {y''[t]}}]
MatrixForm[u = {{x[t]}, {y[t]}}]
MatrixForm[G = {{2 + e^( 3 t)}, {2 + 2 e^( 3 t)}}]
DSolve[{v = A u + G}, {x[t], y[t]}, t]
不知道要如何寫才能跑出結果,謝謝
※ 編輯: shihori 來自: 140.113.154.42 (07/10 16:17)
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07/11 00:11, , 1F
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07/11 02:25, 3F