Re: [理工] [工數]-ODE
特解加上特解 並不等於特解
若 C1*X(t)+C2*X(t) 為原ODE之解
其C1+C2為 1
因為兩解其中的特解 加起來為一個特解
才滿足原ODE
題目給的解是滿足 sint x" + cost x' + 10t = 50
※ 引述《wil0829ly (汪汪)》之銘言：
: Let the scalar functions x (t) and x (t)
: 1 2
: be two different solutions of the following differential equation
: sint x" + cost x' + t = 5 ,then is 3x (t)+7x (t)
: 1 2
: also a solution? Please prove your answer mathematically.
: A simple yes or no answer is not credited.
: 這題要怎麼解呢
: 沒看過係數是三角的= =
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