kellyzeissss1510 kellyzeissss1510

13-03-2024
Mathematics

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Given y_1(t) = t² and y_2(t) = t(-1) satisfy the corresponding homogeneous equation of t2y'' - 2y = -3t - t³, what is the general solution to the non-homogeneous equation?
a) t³ - 5/3t + C₁t² + C₂t(-1)
b) t³ + 3t² - 5/3t + C₁t² + C₂t(-1)
c) t³ - 5/3t + C₁t + C₂t(-1)
d) t³ + 3t² - 5/3t + C₁t + C₂t(-1)

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