[考題][資工系][工程數學(一)][周俊文][96上期 …
Solve the following initial value problems [1)2)3)]:
1) y' = y - y^2
a) y(0) = 0.5
b) y(0) = 1 (20%)
2) (x^2 - 9)y' + xy = 0
a) y(5) = 4
b) y(0) = 2 (20%)
3) (2xy + x^2 -1)y' + (x + y)^2 =0
y(1) = 1 (20%)
4) Solve the following equation:
y''' + y' = tan x (20%)
5) Compute the following convolution:
cos t * cos t (20%)
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