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abs-linsolve

eq1:f1*abs(c1)^2+f2*a...

eq2:f1*f2*(abs(c1)*ab...

linsolve([eq1,eq2],[c...

Calculate

abs-linsolve-log-plot2d-rhs
plot2d([log(abs(eq7))],[f,1,100000],[logx]);

I(i):=-i/(s*R*C);

eq1: Vhp=Vin+Vlp-d*(V...

eq2: Vbp1=I(Vhp);

Calculate

abs-linsolve-log-plot2d-rhs
plot2d([20*log(abs(rhs(eq7[5])))/log(10)],[f,1,100000],[logx]);

I(i):=-i/(s*R*C);

eq1: Vhp=Vin+Vlp-d*(V...

eq2: Vbp1=I(Vhp);

Calculate

abs-linsolve-plot2d-sin
plot2d(abs(sin(x)), [x, 0, 2*%pi]);

eq1:x*4+y-2=y;

eq2:x+2=y;

linsolve([eq1,eq2],[x...

Calculate

abs-linsolve

eq1:(((2*x)+3)/(x+1));

eq2:(-(abs(x+3))+3);

linsolve([eq1,eq2],[x...

Calculate

abs-linsolve-log-plot2d-rhs
plot2d([log(abs(eq7))],[f,1,100000],[logx]);

I(i):=-i/(s*R*C);

eq1: Vhp=Vin+Vlp-d*(V...

eq2: Vbp1=I(Vhp);

Calculate

abs-linsolve-log-plot2d-rhs
plot2d([db(rhs(eq7[1])),db(rhs(eq7[2])),db(rhs(eq7[3])),db(rhs(eq7[4])),db(rhs(eq7[5]))],[f,1000,1000000],[logx]);

I(i):=-i/(s*R*C);

eq1: Vhp=Vin+Vlp-d*(V...

eq2: Vbp1=I(Vhp);

Calculate

abs-linsolve

eq1:GLOOP=((gm*R2)*(R...

linsolve(Av=abs(GLOOP...

Calculate

abs-linsolve-log-plot2d-rhs
plot2d([db(rhs(eq7[1])),db(rhs(eq7[2])),db(rhs(eq7[3])),db(rhs(eq7[4])),db(rhs(eq7[5]))],[f,8000,80000],[logx]);

I(i):=-i/(s*R*C);

eq1: Vhp=Vin+Vlp-d*(t...

eq2: Vbp1=I(Vhp);

Calculate

abs-linsolve-log-plot2d-rhs
plot2d([db(rhs(eq7[1])),db(rhs(eq7[2])),db(rhs(eq7[3])),db(rhs(eq7[4])),db(rhs(eq7[5]))],[f,1000,100000],[logx]);

I(i):=-i/(s*R*C);

eq1: Vhp=Vin+Vlp-d*(0...

eq2: Vbp1=I(Vhp);

Calculate

[abs,linsolve]

Run Example
(%i1)eq1:GLOOP=((gm*R2)*(Rf+Rfb)*(1+(%i*w)*R1*C1)*(1+(%i*w)*Rz*Cz)*((%i*w)^2*(Rfb*Cf*L*(Rf+Rfb))+(%i*w)*(Rs*Cf)+1))/((R1+R2)*Rfb*(1+(%i*w)*Rp*C1)*((%i*w)^2*Rz*Cz+(%i*w)*(Cc+Cz))*((%i*w)^3*L*Cout*T+(%i*w)^2*L*Cout+(%i*w)*Rf*Cf+1));
(%o1) GLOOP = (gm (Rfb + Rf) (%i Cz Rz w + 1)
                       2
 (- Cf Rfb (Rfb + Rf) w  L + %i Cf Rs w + 1) (%i w C1 R1 + 1) R2)
                               2                                         3             2
/(Rfb (%i (Cz + Cc) w - Cz Rz w ) (%i Rp w C1 + 1) (R2 + R1) (- %i Cout w  L T - Cout w  L + %i Cf Rf w + 1))
(%i2) linsolve(Av=abs(GLOOP),w);
(%o2)                                 []
(%i3) 
Run Example
j:%i;
(%o1)                                 %i
(%i2)  z1:j*w*l;
(%o2)                               %i l w
(%i3)  z2:1/(j*w*c);
                                       %i
(%o3)                                - ---
                                       c w
(%i4) jednacine: [ug=r*i+z1*i+z2*i+r*i, u=r*i];
                                     %i i
(%o4)               [ug = %i i l w - ---- + 2 i r, u = i r]
                                     c w
(%i5) promenjive: [i,u];
(%o5)                               [i, u]
(%i6)  odziv: linsolve(jednacine, promenjive);
                       c ug w                       c r ug w
(%o6)    [i = ------------------------, u = ------------------------]
                      2                             2
              %i c l w  + 2 c r w - %i      %i c l w  + 2 c r w - %i
(%i7) h: u/ug, odziv;
                                    c r w
(%o7)                      ------------------------
                                   2
                           %i c l w  + 2 c r w - %i
(%i8)  p: abs(h);
                             abs(c) abs(r) abs(w)
(%o8)                  --------------------------------
                                  2     2      2  2  2
                       sqrt((c l w  - 1)  + 4 c  r  w )
(%i9) 
Run Example
eq1:(2*Q - Rs/abs(Xc1))^2=Rl^2/Xc2^2;
                                                 2
                                     Rs    2   Rl
(%o1)                      (2 Q - --------)  = ----
                                  abs(Xc1)        2
                                               Xc2
(%i2) eq2:x+2=y;
(%o2)                              x + 2 = y
(%i3) linsolve([eq1,eq2],[x,y]);
(%o3)                                 []
(%i4) 

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