Find a fundemental set of solution vectors of the system x'= Ax where A is the given matrix: 4 -5 A= 2 -3 and find the solution that satisfies the initial condition: -3 x(0) = - 1 a) O x(t)= 5 2t e 2...

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Find a fundemental set of solution vectors of the system x'= Ax where A is the given matrix:<br>4 -5<br>A=<br>2 -3<br>and find the solution that satisfies the initial condition:<br>-3<br>x(0) =<br>- 1<br>a) O x(t)=<br>5<br>2t<br>e<br>2<br>4<br>5<br>-2t<br>1<br>) x(t)=<br>1<br>b)<br>2<br>2<br>1 21<br>1<br>c)<br>x(t)=<br>e<br>3<br>2<br>5<br>2<br>-2t<br>4<br>d) O x(1)=<br>e<br>e<br>2<br>-2<br>4<br>21<br>e)<br>x(t)=<br>e'<br>5<br>-3<br>f)<br>None of the above.<br>

Extracted text: Find a fundemental set of solution vectors of the system x'= Ax where A is the given matrix: 4 -5 A= 2 -3 and find the solution that satisfies the initial condition: -3 x(0) = - 1 a) O x(t)= 5 2t e 2 4 5 -2t 1 ) x(t)= 1 b) 2 2 1 21 1 c) x(t)= e 3 2 5 2 -2t 4 d) O x(1)= e e 2 -2 4 21 e) x(t)= e' 5 -3 f) None of the above.

Jun 05, 2022

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Find a fundemental set of solution vectors of the system x'= Ax where A is the given matrix: 4 -5 A= 2 -3 and find the solution that satisfies the initial condition: -3 x(0) = - 1 a) O x(t)= 5 2t e 2...

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