Solve y" (t) + y' (t) – 2y (t) = H (t) ; y (0) = 0 ; y' (0) = -1 where - H(t)=t+1, 0≤ t < 6 H(t) = 3t+1, t≥ 6

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Q: Given f'"(1) = 9x +4 and f'(- 2) = 2 and f(- 2) = - 6. - Find f'(x) = and find f(4)

A: Given  f''x=9x+4          f'-2=-2  and f-2=-6          f'x=∫f''x dx+C                =∫ 9x+4  dx+C…

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Q: Consider the function f(t) = 4 sec²(t) — 8t². Let F(t) be the antiderivative of f(t) with F(0) = 0.…

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