M-274 Midterm: Montana State MATH 274 exam3

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7 Mar 2019
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Ts t r t r s r t t g(t) = te 2t sin t s r rt s . R s r s t t t t t r s r f (t) = sin t s f (s) = s > 0. 0 ev(sin(t v) + (t v)2)dv. Ts t t pr s r s r s y 2y + 5y = 8e t y(0) = 2, y (0) = 12. L 1{f (s)} r f (s) = ln( s2 + 1 s2 + 9. R s r t r r s + 1 s3(s2 2s + 5) L{f }(s) = s2l{f }(s) sf (0) f (0) L{f }(s) = sl{f }(s) f (0) f (t) 1 tn, n = 1, 2, 3, sin bt eat sin bt u(t a) F (s) = l{f }(s) s > 0.