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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