wksheet1solns

wksheet1solns - 60m: MATH 2930, Summer 2009 Worksheet for...

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Unformatted text preview: 60m: MATH 2930, Summer 2009 Worksheet for Week 1: Introduction to Differential Equations: Integrable, Separable, and First-Order Linear Differential Equations 1. What order is the differential equation d4y dry 3 _ __ = 7 (13:4 + (daz) + 3m 0 bra/X be“ prpmfi/ 2. Solve the initial value problem j—Z=cos3x, y(0)=1. infifiryenhie '1 I 30 C ; Y“): (/3 gm 3% + C, . PM,5 m I c I 3. A projectile is fired straight upward with an initial velocity of 100 m/s from the top of a building 20 m high and falls to the ground at the base of the building. Find its maximum height above the ground. For ease of calculation, assume that acceleration due to gravity is —10 m/s2. gm 4‘“ MI {W Jew «W ’ \o++ vb : — (DH (03 VH070= ’[Mfloo V0: \05 “‘15 X» z 20 m a: ~ \b M/sL 55 {k1 [0 SM- mM . Méglxi i 0 \ i A «3 NW“ i M «4 savior) 24H): 6% zoom: “5% HOD“ 3“ PM tho? Kiwi: ~5£10o§+l0°(\°3*9° 7> [Max halt)“: xHQ=6QB m ’ 4. Solve the differential equation d i = 2$y2 + 3m2y2. dm 5. Solve the differential equation 3/ + 2533; = m. 54' mme “WW I - 0 my ‘: F(X): anxcjx: Q/X‘L Z I 1 1 x \/ 8+ afie‘qcxz SM 1 M 5%,: he" dv : Ln - weQM—yle‘flycz u=><Z ($112de Stink RX ...
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This note was uploaded on 01/21/2011 for the course MATH 2930 taught by Professor Terrell,r during the Spring '07 term at Cornell.

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wksheet1solns - 60m: MATH 2930, Summer 2009 Worksheet for...

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