Your time constant will be 1000000 times longer than you expect. The dV/dt during 10s (your simulation duration) will be uV! When simulating anything, you always should do an estimate in your head. If we charge 50uF through 10Ω, wouldn't you expect the time-constant to be 500uS? So simulate for 5000us or 5ms.
It is bad practice to give the same electrical node two different names. In your case, V+ and Vout. Pick one, or the other.
Also, if you expect to show the charging current transient from zero Volts to 5V, then you must instruct the simulator not to "precharge" the capacitor by doing its normal DC bias solution ahead of the Transient simulation.
Run the attached circuit with and without the "startup" in the .tran statement and see the difference on V(out). Note the "Start external DC supply voltages at 0V" check box in the "Edit Simulation Command".