Use IVP1
[tex](1 + {t}^{2} ) \frac{dy}{dt} + (1 + {t}^{2} )y = {e}^{ - t} [/tex]
[tex]y(1) = 2[/tex]
to complete the following tasks
a. Apply an appropriate theorem to determine the largest interval for which a unique solution exists.
b. Find the general solution.
c. Find the particular solution.​