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Systems of Ordinary Differential Equations (4 Problems)

Problem 8.1 (Prob. 11, p.251) Solve the following system of equations.
{ x' = y
{ y' = -x

Problem 8.2 (Prob. 18, p.251) Solve the following system of equations with given initial conditions.
{ x' = -y
{ y' = 10x - 7y
{ x(0) = 2
{ y(0) = -7

Please see attached for all other questions.


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Four systems of differential equations are solved. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.