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The nonhomogeneous equation t2 y′′−2 y=19 t2−1, t>0, has homogeneous solutions y1(t)=t2, y2(t)=t−1. Find the particular...

The nonhomogeneous equation t2 y′′−2 y=19 t2−1, t>0, has homogeneous solutions y1(t)=t2, y2(t)=t−1. Find the particular solution to the nonhomogeneous equation that does not involve any terms from the homogeneous solution.

Enter an exact answer.

Enclose arguments of functions in parentheses. For example, sin(2x).

y(t)=

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