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q6 - ty(4 ln t-1 y y = t 2 has a unique solution Explain...

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MA366 Sathaye Quiz 6 Solved. Name Sec. Row 1. Write the given complex number in the form Re . z = 9 + 9 i . Answer: R = θ = Answer: R = 9 2 + 9 2 = 9 2 , θ = arctan(1) = π/ 4 2. Find the general solution y h for the equation: ( D 3 + 6 D 2 + 9 D ) y = 0 Show your work. Answer: Roots of D 3 + 6 D 2 + 9 D = 0 are 0 and - 3 (double). So, the solution is y h = c 1 + e - 3 t ( c 2 + c 3 t ). 3. Determine the largest interval containing t = 2 on which the equation
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Unformatted text preview: ty (4) + ln( t-1) y + y = t 2 has a unique solution. Explain your reasoning. Answer: The equation is rewritten in standard form as y (4) + ln( t-1) t y + 1 t y = t Its coefficients are continuous on an interval for which t > 1 and t 6 = 0. So the desired interval is I = (1 , ∞ )....
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