Solving two exponential equations

I want to solve these two exponential equations with two unknowns.
5021747384670633/8796093022208 - (191*exp(-609699130650934272/(622444614725399*T)))/10 - (19*exx)/5
3227532116765295/4398046511104 - (159*exp(-3013775930722772480/(5602001532528591*T)))/10 - (27*exx)/5
Plaese help.

답변 (1개)

Torsten
Torsten 2023년 7월 30일
편집: Torsten 2023년 7월 30일

1 개 추천

syms T
eqn = 5/19*(5021747384670633/8796093022208 - (191*exp(-609699130650934272/(622444614725399*T)))/10) ==...
5/27*(3227532116765295/4398046511104 - (159*exp(-3013775930722772480/(5602001532528591*T)))/10)
eqn = 
Tnum = vpasolve(eqn)
Tnum = 
exx1 = subs(lhs(eqn),T,Tnum)
exx1 = 
129.48326876014043959603358902269
exx2 = subs(rhs(eqn),T,Tnum)
exx2 = 
129.48326876014043959603358902269

댓글 수: 2

Marsha Parmar
Marsha Parmar 2023년 7월 31일
thank you so much.
Are the two expressions intended to equal each other? Or is it a pair of simultaneous equations in which each has an implicit == 0 ?
syms T
eqn = str2sym('[5021747384670633/8796093022208 - (191*exp(-609699130650934272/(622444614725399*T)))/10 - (19*exx)/5, 3227532116765295/4398046511104 - (159*exp(-3013775930722772480/(5602001532528591*T)))/10 - (27*exx)/5]')
eqn = 
Tnum = vpasolve(eqn)
Tnum = struct with fields:
T: -690.72238711814271539481565981433 exx: 129.48326876014043959603358902269

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