Sure, here are the corrected versions of the sentences with identified errors:
1. Satyajit Ray, the filmmaker, music director, writer, and illustrator, was a talented man.
2. Many a student has had a hard time with mathematics.
3. Either of the two trains goes to Indore.
4. The jury declares the accused to be guilty.
5. Every one of the students has the potential to do well in life.
6. The soldiers as well as the king are fighting bravely in the battle.
7. Three hundred and sixty-five make up the number of days we have in a year.
8. The principal, along with the teacher, greets the chief guest warmly.
9. Solomon and Sally don't like to play in the park.
10. Neither the director nor the actor was patient or reasonable.
11. The philosopher and the poet are dead.
12. The monsoon has arrived in Kerala.
13. "Ghost Tales From the Raj" is written by Ruskin Bond.