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KonstantinChe [14]
3 years ago
12

How do you specify that y = 8x + C× is a general solution of the PD ./dy/dx − y = 6 (4 − x)?

Mathematics
2 answers:
Mariulka [41]3 years ago
4 0

Answer:

I'm not sure but thank you and have a Merry Christmas

scZoUnD [109]3 years ago
4 0

Answer:

thx i will do the answer too!!!!!!!

Step-by-step explanation:

1. Direction Fields. Sketch the direction field for each of the following ordinary differential equations.

(a) dy

dx = x

2 − y

2

, (b) dy

dx =

x

2 − y

2

x

2 + y

2

, (c) dy

dx =

x

2

y

2

, (d) dy

dx = x − y

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. Two bicyclists, Sarah and Emily, depart from the same location. Sarah heads N55°E at an average speed of 6 km/hr. Emily heads
Liula [17]

Answer:

The distance between them after 30 minutes is 6.5 km.

Step-by-step explanation:

Speed = \frac{distance}{time}

Sarah's speed = 6 km/hr = 1.6667 m/s

Emily's speed = 10 km/hr = 2.7778 m/s

The measure of angle between their bearings = 105^{o}

After 30 minutes (1800 seconds);

distance = speed x time

Sarah would have covered a distance = 1.6667 x 1800

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Emily would have covered a distance = 2.7778 x 1800

                               = 5000 m

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The distance between them, a, can be determined by applying the cosine rule;

a^{2} = b^{2} + c^{2} - 2bcCos A

   = 5000^{2} + 3000^{2} -2(5000 x 3000) Cos 105

   = 5000^{2} + 3000^{2} -2(5000 x 3000) x (-0.2588)

   = 2.5 x 10^{7} + 9 x 10^{6} + 7764000

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a = \sqrt{41764000}

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