this is my first time to use wxMaxima.
I have a series of equations:
e1 : R10/U10=R2/U20;
e2 : R11/U11=R2/U21;
e3 : R10+U20=1023;
e4 : R11+U21=1023;
e5 : R11=R10+epsilon;
e6 : R1=(R10+R11)/2;
e7 : K=R1/R2;
R2, U10, U11 and epsilon are known
First, I want to solve K
Second, I want to develop the solution in taylor series with respect to epsilon. The error on K is supposed to be of second order of epsilon. This is what I got by hand and what I want to confirm.
Thanks for helping, Olivier
solve([e1, e2, e3, e4, e5, e6, e7], [R1, R10, R11, U11, U20, U21, K]);
(You seem to have 7 equations and 6 variables only in the original story.)
f(R2, U10, epsilon):=(sqrt(1046529-4R2U10)+epsilon+1023)/(2*R2)$
With my choice of the unknown variables, a first order-approximation always tells the whole story, anyway in general you should use
taylor(f(R2, U10, epsilon), epsilon, epsilon_0, 2);
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