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Differential Equations First Order Linear...

Differential Equations First Order Linear Systems

Answers as exact values

1. Solve the following system:

x' = 5x + y, x(0) = -1

y' = -17x + 3y, y(0) = -6

x(t) =

y(t) =

2. Solve the following system:

x' = 5x − y, x(0) = 1

y' = -12x + y, y(0) = 3

x(t) =

y(t) =

3. Solve the following system:

x' = 7x + 12y, x(0) = -4

y' = -x − y, y(0) = -6

x(t) =

y(t) =

Answers as exact values

1. Solve the following system:

x' = 5x + y, x(0) = -1

y' = -17x + 3y, y(0) = -6

x(t) =

y(t) =

2. Solve the following system:

x' = 5x − y, x(0) = 1

y' = -12x + y, y(0) = 3

x(t) =

y(t) =

3. Solve the following system:

x' = 7x + 12y, x(0) = -4

y' = -x − y, y(0) = -6

x(t) =

y(t) =

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