solve the initial value problem (t2 + 1)y + 2ty = g(t), y(0) = 0, where g(t)

solve the initial value problem

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(t2 + 1)y + 2ty = g(t), y(0) = 0, where g(t) St if 0 < t < 1, t21. -t if (t2 + 1)y + 2ty = g(t), y(0) = 0, where g(t) St if 0 < t < 1, t21. -t if