(Solution) AMS 361: Applied Calculus IV Homework 5 Assignment Date: Thursday (02/25/2016) Collection Date: Thursday (03/10/2016) Before 5:45pm Email... > Snapessays.com

(Solution) AMS 361: Applied Calculus IV Homework 5 Assignment Date: Thursday (02/25/2016) Collection Date: Thursday (03/10/2016) Before 5:45pm Email...

Cf = Referring to… Please be advised the actual HW problem may differ from the referenced problem in the textbook but the

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AMS 361: Applied Calculus IV

Homework 5

Assignment Date:

Thursday (02/25/2016)

Collection Date:

Thursday (03/10/2016) Before 5:45pm

[email protected]

Each problem is worth 10 points.

Problem 5.1 (

Cf:Sec.2.5startingonP.115,newedition)

: A plane approaches

Kennedy airport for landing from ? miles away from the airport. This distance is a

straight-line distance linking this current plane position and Kennedy airport. Wind

blows at a constant speed ± and at a direction perpendicular to the straight-line.

The plane flies at a constant speed ²

X

> ± relative the wind and it maintains its

heading directly toward to the airport at all times. Due to the wind, the plane must

travel on a curved trajectory whose length is bigger than ?. Compute the extra

distance the plane have to travel relative to the “beeline” distance ? using the given

parameters ?, ²

X

, ±.

Problem 5.2: Find the G.S. of the following DE:

³

´´

? 2³

´

? 15³ = 0

Problem 5.3: Find the G.S. of the following DE:

³

´´

? 2³

´

+ 5³ = 0

Problem 5.4: Find the G.S. of the following DE:

µ

³

´´

+ 2µ³

´

? 3³ = 0

Problem 5.5 (

Cf:Problem3.3.11onP.133

): Find the G.S. of the following DE:

· ? 3

· ? 2

¸

·

? 4· + 5

³(µ) = 0 where · ?

¹

¹µ

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