Solving two exponential equations
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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.
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Answers (1)
Torsten
on 30 Jul 2023
Edited: Torsten
on 30 Jul 2023
syms T
eqn = 5/19*(5021747384670633/8796093022208 - (191*exp(-609699130650934272/(622444614725399*T)))/10) ==...
5/27*(3227532116765295/4398046511104 - (159*exp(-3013775930722772480/(5602001532528591*T)))/10)
Tnum = vpasolve(eqn)
exx1 = subs(lhs(eqn),T,Tnum)
exx2 = subs(rhs(eqn),T,Tnum)
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Walter Roberson
on 31 Jul 2023
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]')
Tnum = vpasolve(eqn)
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