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Question: how to use numerical method like runge kutta to solve a differential equation?

Question:how to use numerical method like runge kutta to solve a differential equation?

animesh animesh 8 Maple
October 05 2006
0
Hi, I am trying to find a solution to this following maximization problem: pi[a1]:=Q*log(t)*(e[q]) - ( P*(1/log(t))*(1/(1- (e[q])))) - log(y)*log(t)*(e[q]*s[q]+(1-e(q))*s[p]); maximize pi[a1] with respect to t and e[q]. I tried analytical method but it seems that there is no closed form solution. pi_a1[diffwrtp_t]:=(diff(pi[a1],t)); pi_a1[diffwrtp_eq]:=(diff(pi[a1],e[q])); solve({pi_a1[diffwrtp_t] =0, pi_a1[diffwrtp_eq]=0 },{t, e[q]}); Can someone please advice me how to solve the differential equation stated above so that I can find a relationship between t and e[q] and t and y. Thank you, Regards, Animesh
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