mmr123
Newbie
I am facing problem in using dsolve. The solution it gives has complex terms but my expected answer is completely real. Attached is the picture of the differential equation and its general solution which I am trying to get using MATLAB
Here is my code:
This gives the solution:
If the DE is solved by hand it gives the following:
The expected solution as calculated by hand does not contain any imaginary part. Moreover, the solution given by dsolve does not fully match with the expected one. I don't undestand where I am doing wrong. Kindly help me to debug this.
Here is my code:
Code:
syms Vs(x) w l C phi Vcc Vr
q= 1/(w*sqrt(l*C));
ode = w*w*l*C*diff(Vs,x,2)+Vs==Vcc-Vr*sin(x+phi); % non-homogenous second order DE
Vs = dsolve(ode,x,'IgnoreAnalyticConstraints',1);
Vs= simplify(Vs);
pretty(Vs)This gives the solution:
which after some simplication with hand gives the following:
Clearly we have imaginary terms in terms in it.
If the DE is solved by hand it gives the following:
The expected solution as calculated by hand does not contain any imaginary part. Moreover, the solution given by dsolve does not fully match with the expected one. I don't undestand where I am doing wrong. Kindly help me to debug this.