[SOLVED] Math 240 — hw 5

Solve the following differential equations.
1. x
′
(t) = 2 sin(t), x(π) = 2
2. x
′
(t) = 3 cos(t), x(0) = 1
3. x
′
(t) = e
−t
, x(1) = 0 (try to write your answer in a nice form)
4. x
′
(t) = x, x(0) = 1
5. x
′
(t) = x
2
, x(0) = 1
6. x
′
(t) = xt, x(0) = 0
7. x
′
(t) = e
−x
, x(1) = 1
1