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I have a system of linear DE 's as under.

[tex]\dot{x}_1(t)=-tx_1+x_2[/tex]

and

[tex]\dot{x}_2(t)=-tx_2+x_1[/tex]

Now how do we find the solution

[tex]x(t)^{T}=[x_1, x_2][/tex]

I tried to find a similar post but could not. Any help would be highly appreciated. I am in the midst of writing a code wherein I need to solve this system of linear DE's.

Thanks in advance.

Gaganaut.

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# Linear systems question

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