I found in the Advanced Engineering Mathematics we have the statement:
qq3 := map(int,qq2,x)+(0=a);
- ln(2 y(x) + 1) = ln(x) + a
which integrates the expression qq2 and then adds a constant. What does (0=a) mean and why does it differ from just adding a?
Whenever I try and use it I get this:
> int1 := (2*x^2+4)*sin(x):
> ans1b := map(int, int1, x)+(0 = c);
-(2/3*x^3 + 4 x)*cos(x) = c - (2/3*x^3 + 4 x)* cos(x)
I've got a block of code that I use once in a simple form, and then a second time in a more cascaded form but the second bunch doesn't work. And it seems as though tan won't evaluate numerically for me - it's really bugging me. Maple 11.
Here's the block of code that does work:
> eqn := Zin = (70.71*(100+(70.71*I)*tan(2*Pi*f/(3*10^8)*0.25e-1)))/(70.71+(100*I)*tan(2*Pi*f/(3*10^8)*0.25e-1));
> eqn1 := GAMMA[i] = (Zin-50)/(Zin+50);
> eqn2 := (1+abs(GAMMA[i]))/(1-abs(GAMMA[i]));
> sol := subs(eqn, eqn1);
> sol1 := subs(sol, eqn2);
> unapply(sol1, f);
I've got what turns out to be just a lot of algebraic manipulation - something Maple should rock at.
But I can't seem to get things to turn out just right.
I have a system of equations in the variable 's'. These are the equations of 3 op-amps, and I'm looking for the transfer function Vo/Vin. V1 and V2 are intermediate voltages at specific nodes, with R1-6 and C1-2, being parameters.
V1 = -R2/R1*Vin, V2 = -Vo/(C1*R4*s)-V1/(C1*R3*s), Vo = R6*V2/(R6+R5)+R6*Vin/(1/(C2*s)+R6)