quiz

MATH 3613.001 Quiz 1 NAME

1. Consider the initial-value problem y′ = y − t2 + 1 where 0 ≤ t ≤ 2, y(0) = 1

2 .

Check that y(t) = (t + 1)2 − 1 2 et

(a) is a solution to the di�erential equation, and

(b) satis�es the initial condition.