eqn1 = A + B == 1/(R1*C1)
eqn1 =
eqn2 = -A*beta-B*alpha == 0
eqn2 = 
eqn3 = alpha*beta == 1/(R1*C1*R2*C2)
eqn3 =
eqn4 = (R1*C1+R1*C2+R2*C2)/(R1*C1*R2*C2) == -alpha-beta
eqn4 =
[A,B,alpha,beta] = solve(eqn1,eqn2,eqn3,eqn4)
A1 = simplify(A)
A1 =
B1 = simplify(B)
B1 =
alpha1 = simplify(alpha)
alpha1 =
beta1 = simplify(beta)
beta1 =
I want to get A1,B1,alpha1,beta1 represented only by constant (R1 R2 C1 C2). However, when I run the codes, the system gives me:
A1 =
1/(C1*(A + B))
1/(C1*(A + B))
B1 =
-(A^2*C1 + B^2*C1 - A*(C1*(A^2*C1 + B^2*C1 + 2*A*B*C1 + 4*A*B*C2))^(1/2) + B*(C1*(A^2*C1 + B^2*C1 + 2*A*B*C1 + 4*A*B*C2))^(1/2) + 2*A*B*C2)/(2*A*B*C1*C2*(A + B))
-(A^2*C1 + B^2*C1 + A*(C1*(A^2*C1 + B^2*C1 + 2*A*B*C1 + 4*A*B*C2))^(1/2) - B*(C1*(A^2*C1 + B^2*C1 + 2*A*B*C1 + 4*A*B*C2))^(1/2) + 2*A*B*C2)/(2*A*B*C1*C2*(A + B))
alpha1 =
((A + B)*((C1*(A^2*C1 + B^2*C1 + 2*A*B*C1 + 4*A*B*C2))^(1/2) + A*C1 - B*C1))/(2*B*(C1 + C2))
-((A + B)*((C1*(A^2*C1 + B^2*C1 + 2*A*B*C1 + 4*A*B*C2))^(1/2) - A*C1 + B*C1))/(2*B*(C1 + C2))
beta1 =
-((A + B)*((C1*(A^2*C1 + B^2*C1 + 2*A*B*C1 + 4*A*B*C2))^(1/2) + A*C1 - B*C1))/(2*A*(C1 + C2))
((A + B)*((C1*(A^2*C1 + B^2*C1 + 2*A*B*C1 + 4*A*B*C2))^(1/2) - A*C1 + B*C1))/(2*A*(C1 + C2))
What other codes should I add to solve this problem?
