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Diff Eq 5.4

 

<== Differential Equations
Number Question Answer
See the work
1. Solve the system
\displaystyle rac{dx}{dt} =
\setlength{\arraycolsep}{0in}\left.\begin{array}{c}\! \\! \\! \nd{array}
ight[ 1 -4 \setlength{\arraycolsep}{0in}\left.\begin{array}{c}\! \\! \\! \nd{array}
ight]
4 -7
x

with x(0) =
\setlength{\arraycolsep}{0in}\left.\begin{array}{c}\! \\! \\! \nd{array}
ight[ 3 \setlength{\arraycolsep}{0in}\left.\begin{array}{c}\! \\! \\! \nd{array}
ight]
2
.

Give your solution in real form.
x_1 = ,
x_2 = .
x_1 =
x_2 =
The work

Point Cost: 3
2. Solve the system
\displaystyle rac{dx}{dt} =
\setlength{\arraycolsep}{0in}\left.\begin{array}{c}\! \\! \\! \nd{array}
ight[ 2 1.5 \setlength{\arraycolsep}{0in}\left.\begin{array}{c}\! \\! \\! \nd{array}
ight]
-1.5 -1
x

with x(0) =
\setlength{\arraycolsep}{0in}\left.\begin{array}{c}\! \\! \\! \nd{array}
ight[ 3 \setlength{\arraycolsep}{0in}\left.\begin{array}{c}\! \\! \\! \nd{array}
ight]
-2
.

Give your solution in real form.
x_1 = ,
x_2 = .
x_1 =
x_2 =
The work

Point Cost: 3
3. Solve the system
\displaystyle rac{dx}{dt} =
\setlength{\arraycolsep}{0in}\left.\begin{array}{c}\! \\! \\! \nd{array}
ight[ -2.5 1.5 \setlength{\arraycolsep}{0in}\left.\begin{array}{c}\! \\! \\! \nd{array}
ight]
-1.5 0.5
x

with x(0) =
\setlength{\arraycolsep}{0in}\left.\begin{array}{c}\! \\! \\! \nd{array}
ight[ 3 \setlength{\arraycolsep}{0in}\left.\begin{array}{c}\! \\! \\! \nd{array}
ight]
-1
.

Give your solution in real form.
x_1 = ,
x_2 = .
x_1 =
x_2 =
The work

Point Cost: 3
4. Solve the system
\displaystyle rac{dx}{dt} =
\setlength{\arraycolsep}{0in}\left.\begin{array}{c}\! \\! \\! \nd{array}
ight[ 3 9 \setlength{\arraycolsep}{0in}\left.\begin{array}{c}\! \\! \\! \nd{array}
ight]
-1 -3
x

with x(0) =
\setlength{\arraycolsep}{0in}\left.\begin{array}{c}\! \\! \\! \nd{array}
ight[ 2 \setlength{\arraycolsep}{0in}\left.\begin{array}{c}\! \\! \\! \nd{array}
ight]
4
.

Give your solution in real form.
x_1 = ,
x_2 = .
x_1 =
x_2 =
The work

Point Cost: 3