An electron in constant electric and magnetic fields

An electron moves in a constant electric field $\vec{E}$ and a constant magnetic field $\vec{B}$. The force on the electron is,

$\large \vec{F} = q(\vec{E} + \vec{v}\times \vec{B}).$

For an electron, $q=$ -1.6022×10^-19 C and $m=$ 9.11×10^-31 kg.

The electric field is: $E_x=$  V/m, $E_y=$  V/m, $E_z=$  V/m.

The magnetic field is: $B_x=$  T, $B_y=$  T, $B_z=$  T.

At $t=0$:   $x=0$ m  $y=0$ m,  $z=0$  m,  $v_x=10^5$  m/s,  $v_y=0$  m/s,  $v_z=0$  m/s.

What equations would have to be put into the differential equation solver to determine the trajectory of the electron?