Consider the system of differential equations xi(t) = 3x₁ (t) + 2x2(t) x₂ (t) = x1(t) + x₂(t) + e²t Find the general solution to this system, given that the general solution to the corresponding homo- geneous system is Xh(t) = C₁e²t sint cos cos t - + C₂e²t 2t) -cost- sin sin t

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Q: (7 3. Write the given system without the use of matrices: X'=| 4 -9 8. 1 1 X+ 2 eı -21 le -1 3 1 3

A: Consider the given equation. X'=75-94110-13x+021e5t-803e-2t The given system can be expressed as.…

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Q: nonhomogeneous system.

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A: i just substituted the given variable in a proper way in given second order system.

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A: The given system is: x'→=-21-1-4x→

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A: For the differential equation, to checkand the set is fundamental set of solution.

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