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x:t7→ x(t)
x0= 0 R
x0= 0 ] − ∞,2[∪]5,+∞[
x0= 1 x(−1) = 2 R
x0= 1/t R∗
+R∗ −
t2y00 +ty0+ 2y= sin t
(1 + y2)y00 +ty0+y=et
y(4) +y(3) +y00 +y0+y= 1
y00 + sin(t+y) = sin t
20◦0,1(min)−1
v0=g−λ
mv v(0) = 0.
g= 9.8m·s−2λ/m = 0,2s−1
98%

m
k
m= 10 kg g = 9.8m·s−2
49m/s
p(t)t
p0= 0.5p−450
t p(0) = 850
t p(0) = p00< p0<900
p0
y0=−ay +b
a b
a b a b
b/a
y00 −y= 0 y1(t) = ety2(t) = cht
ty0−y=t2y= 3t+t2
y0−y= 2te2ty(0) = 1
y0+ 2y=te−2ty(1) = 0
ty0+ 2y=t2−t+ 1 y(1) = 1/2t > 0
y0+2
ty=cos t t2y(π) = 0 t > 0
y0−2y=e2ty(0) = 2
y0−2y=t2e2t
y0+1
ty= 3cos(2t)t > 0
ty0+ 2y=sint t > 0
2y0+y= 3t2