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# quiz3a - Math 415 Quiz 3 Name_‘ TA Younghwan Son Rec Time...

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Unformatted text preview: Math 415 Quiz 3 Name:______________-______-___‘ TA: Younghwan Son Rec. Time: _____________________ Form A Show all work; answers with insufﬁcient support will not receive credit. GOOD LUCK! 1.Determine the longest interval in which the given initial value problem is certain to have a unique twice differentiable solution. (iv - 2):!" + y’ + (a: - 2)(tanz)y = 0 . 31(3) = 1,3/(3) = 0 7”+ #:yw WK y=o P "J" 7 Can/7'nuour eXcefIL X21. ace/7L X-= E! + am (”:02 ,tl/ 1-1, m) 2. If y; and ye are linearly independent solutions of ty” — 23/ + (3 + t)y = 0 and if W(y1, y2)([)=3, ﬁnd the value of W'(y1, y2)(4). W .._-, C exf(F//’(L£l0({/ -= C e// (*f["2%)o(é) :: 6 ex/, ff off C 6X}? .z/nlzfl C éXfOn 1H) = (7-H ll {Inca mu =3 6: 3. I ﬂame N (4) = 3' 42 = 4‘8 ...
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