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02-06-2023
Mathematics

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5. Let L be the differential operator defined by L(y) = (D²-4D+5)(D³-1)y, where D = d/dt = '. [Hint: Observe that L(y)=y⁽⁴⁾-4y⁽³⁾+4y⁽²⁾+4y'-5y]
Solve: L(y)=teᵗsint

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