Given y₁(t) = ² and y₂(t) = t¯¹ satisfy the corresponding homogeneous equation of t²y"-2y = 1+ 3t, t> 0 Then the general solution to the non-homogeneous equation can be written as y(t) = c₁y₁(t) + c2y2(t) + y(t). Use variation of parameters to find y(t). Y(t) =

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