1 2018 (2019 1 30 ) IS IN 1
1 20
2
(1) xy cosx
(2)
(3) x
(4) r r+∆r V(r)
2 30
y(x)
(1) y′−6y= 0, y(0) = 3 (2) y′−6y= 5ex
(3) y′−6y=e6x (4) y′−6y= 37 sinx
(5) y′′+y′−6y= 0, y(0) = 0, y′(0) = 5 (6) y′′−2y′−6y= 0
3 1 25
R C RC
V t= 0
Q(t)
=! V =RdQ
dt +Q C Q(t)
R C
V
4 2 25 ℓ
x m
mg
x kx
x0
0 =mg−kx0 x0 =mg/k x
md2x
dt2 =mg−kx
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&!"$'
()*+#
,-
x!
5 25
(1) y(x) 2 1
(2) (3) (4)
(a) (b)
source term (c)
(d)
(e) (f)
(g) (h)