AMAT 311 Assignment 1 (Q#1-Q#5)

AMAT 311 Assignment 1 (Q#1-Q#5) - l(1 point Match each...

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Unformatted text preview: l. (1 point) Match each differential equation to a function which is a solution. FUNCTIONS A. y = 3x +x2, B. y 2 2‘3“, C. y = sinfix}, D. 3: =x %, E- y = Sflptfix). DIFFERENTIAL EQUATIONS _4. }"+12y'+32y=fl Answer-(s) submitted: 0 E 0 A 0D OB {correct} 2. (1 point) Match the following differential equations with their solutions. The symbols A. B, C in the solutions stand for arbitrary.r con- stants. You must get all ofthe answers correct to receive credit. _1. :35——25y=o _2. % = 3:32;}! 3.f7g——14§§+49y=o _4. g; = lflxy _5. £+21x3y=2112 A. y=Ae_7‘+Exe_7‘ B. y=Acos(5x)+Bsin|[5x} c. }=Ce‘7‘3+l o. y=Ae59 E. 331—5? =C Answer-(x) submitted: 0 B o E o it. DC (correct) 1 (113mm) Let}? 231'. Find all values of r such that y = r11 satisfies the differen- tial equation. If there is more than one correct answer, enter your answers as a comma separated list. r = — help (numbers) Answerfsj Wreck I BIZ (correct) 4. (1poim1Lety"+y’—ey=o. Find all values of r such that y = e" satisfies the differential equation. If there is more than one correct answer, enter your answers as a comma separated list. r = — help {numbers} Answer-{s} submitteri' o 2,—3 (correct) 5. (I point} Suppose that a fourth order differential equation has a solution 3' = —5€5‘xsin{x). Find the initial conditions that this solution satisfies. rtfll = :r’tfll = I"tfll = amt-3‘} = Amer”) submitted' o I] o I] I —l[l o —15|J (correct) ...
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