作者andy4526 (QQQQQQQ)
看板Grad-ProbAsk
標題[理工] 工數 Bernoulli 台大土木考古題請教!
時間Wed Mar 30 12:02:54 2011
The Bernoulli equations written as P(x)y'+Q(x)y=R(x)*y^a.
If the integrating factor u=f(x)*y^b can make tje Bernoulli equation exact.
Find f(x) and b in terns of P(x) , Q (x) , R(x) and a
答案是 1. b=-a
2. f(x)=exp{∫[1(1-a)Q(x)-P'(x)/P(x)] dx}=1/P(x){∫(1-a)Q(x)/P(x) dx}
我怎麼算怎都跟答案不一樣阿 好心人幫個忙吧!
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