In this contribution, we use Maple software to study a solar cell modeled by an electronic circuit containing five physical parameters. The physical parameters are:  the series resistance, the reverse saturation current, the ideality factor, the shunt resistance and the photocurrent. First, we solve the characteristic equation giving the output current
as a function of the output voltage of the solar cell. Then, we determine the analytical expressions of the short circuit current, the open circuit voltage, the dynamical resistance
of the solar cell and the different kinds of powers involved : the output power, the power dissipated by Joule Effect in the internal components of the solar cell and the solar cell total power.

Next, we determine a new expression of the optimal load resistance corresponding to the maximal power point. Finally, we investigate the effects of the different physical parameters on the current-voltage characteristic I[out] = f(V[out]) and on the output power P[out](I[out]) of the solar cell.