Science:Math Exam Resources/Courses/MATH307/April 2006/Question 02 (b)
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Question 02 (b) 

Consider the diagonalizable matrix (b) Find the solution of the differential equation satisfying the initial condition . 
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Hint 

Science:Math Exam Resources/Courses/MATH307/April 2006/Question 02 (b)/Hint 1 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. The solution for a differential equation of the form and A is 2 by 2 and diagonalizable has the form where are the eigenvalues of A and are their respective eigenvectors. can be obtained by plugging in the initial condition Solving should give you therefore the solution is 