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x˙ 1 = −(x2 + x3), x˙ 2 = x1 + ax2, x˙ 3 = b + x1x3 − cx3
a = 0.17 b = 0.4 c = 8.5
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S . 4 (
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3x˙ + y˙ + x = 1 |
x(0) = 0, y(0) = 0 |
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x˙ + 4y˙ + 3x = 0
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x˙ − x − 2y = t
x(0) = 2, y(0) = 4
y˙ − 2x − y = t
W . 4 ( |
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2¨x − x˙ + 9x − y¨ − y˙ − 3y = 0, |
x(0) = 1, |
x˙ (0) = 1 |
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2¨x + x˙ + 7x |
− |
y¨ + y˙ |
− |
5y = 0, |
y(0) = 0, |
y˙(0) = 0 |
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R |
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y¨ + y˙ − 2y = et, |
y(0) = −1, |
y˙(0) = 0 |
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x¨ − x + y + z = 0, |
x(0) = 1, |
x˙ (0) = 0 |
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y¨ |
− |
y + x + z = 0, |
y(0) = 0, |
y˙(0) = 0 |
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z¨ − z + x + y = 0, |
z(0) = 0, |
z˙(0) = 0 |
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. 4 |
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y(4) + y(3) = cos t, y(0) = 0, |
y˙(0) = 0, |
y¨(0) = 0, y(3)(0) = 2 |
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X ' 5Z 5 ( 4 3 y˙ + y2 = x2
Y . 4
y(4) + 4y = t2, y(0) = 0, y˙(0) = 1, y¨(0) = 2, y(3)(0) = 3
\ . 4
4y(3) − 8y(2) − 2y˙ = 8et, y(0) = 1, y˙(0) = 1, y¨(0) = 1
S . 4
y(3) − 6y(2) + 11y˙ − 6y = 0, y(0) = 0, y˙(0) = 0, y¨(0) = 10
SS . 4
y(4) + 2y(2) = t sin t, y(0) = 0, y˙(0) = 10, y¨(0) = 0.1, y(3)(0) = 0.01
S . 4 (
x¨ − x + 2y = 0, |
x(0) = 0, x˙ (0) = −1 |
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x¨ |
− |
2y = 0, |
y(0) = 1/2 |
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SW 3 4 % ( 0 5 0
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(1 + 2λ(P )) |
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λ(P ) = |
PH −P |
V (P ) = V0 |
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PH −Patm % 3 |
H = 500m PH H Patm (
" 0 ( 3 3 T/ (3 0 3 3 4 ( ((
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dt |
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dt |
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0 T(
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V (t) = 3 − a exp(t)" a ( f /
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45 ( Y (( 0 X ( |
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45 3 t0 = 10 0 0 2 |
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y¨ = −g + |
α(t) |
y(0) = 700, |
y˙(0) = 0 . |
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m |
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b g |
= 9.81 m/s2 |
0 3" α(t) f |
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α(t) |
= k1y˙(t)2 0 t < t0 |
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α(t) = k2y˙(t)2 T/ (3 0 0 45 |
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( 5 0 k1 = 1/150 k2 = 4/150 |
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