(a) To show: The function ɸ x = x 2 is an explicit solution to x d y d x = 2 y on the interval - ∞ , ∞ .

Question

At a BBQ, you can choose to eat a burger, hotdog or pizza. you can choose to drink water, juice or pop. If you choose your meal at random, what is the probability that you will choose juice and a hot dog? What is the probability that you will not choose a burger and choose either water or pop?

Answer 1

Question

Chapter 1.2, Problem 1E

To determine

(a)

To show:

The function $ɸx=x2$ is an explicit solution to $xdydx=2y$ on the interval $-∞, ∞$ .

To determine

(b)

To show:

The function $ɸx=ex-x$ is an explicit solution to $dydx+y2=e2x+1-2xex+x2-1$ on the interval $-∞, ∞$ .

To determine

(c)

To show:

The function $ɸx=x2-x-1$ is an explicit solution to $x2d2y/dx2=2y$ on the interval $0, ∞$ is shown.

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Students have asked these similar questions

At a BBQ, you can choose to eat a burger, hotdog or pizza. you can choose to drink water, juice or pop. If you choose your meal at random, what is the probability that you will choose juice and a hot dog? What is the probability that you will not choose a burger and choose either water or pop?

a card is drawn from a standard deck of 52 cards. If a card is choosen at random, what is the probability that the card is a)heart b)a face card or c)a spade or 10

in a coffee shop, 160 customers came in. Of these, 60 bought coffe and cake and the rest ordered just coffee. determine the probability that the next person will buy coffee and cake

Answer 2

Question

Chapter 1.2, Problem 1E

To determine

(a)

To show:

The function $ɸx=x2$ is an explicit solution to $xdydx=2y$ on the interval $-∞, ∞$ .

To determine

(b)

To show:

The function $ɸx=ex-x$ is an explicit solution to $dydx+y2=e2x+1-2xex+x2-1$ on the interval $-∞, ∞$ .

To determine

(c)

To show:

The function $ɸx=x2-x-1$ is an explicit solution to $x2d2y/dx2=2y$ on the interval $0, ∞$ is shown.

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Answer 3

Question

Chapter 1.2, Problem 1E

To determine

(a)

To show:

The function $ɸx=x2$ is an explicit solution to $xdydx=2y$ on the interval $-∞, ∞$ .

To determine

(b)

To show:

The function $ɸx=ex-x$ is an explicit solution to $dydx+y2=e2x+1-2xex+x2-1$ on the interval $-∞, ∞$ .

To determine

(c)

To show:

The function $ɸx=x2-x-1$ is an explicit solution to $x2d2y/dx2=2y$ on the interval $0, ∞$ is shown.

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Answer 4

Question

Chapter 1.2, Problem 1E

To determine

(a)

To show:

The function $ɸx=x2$ is an explicit solution to $xdydx=2y$ on the interval $-∞, ∞$ .

To determine

(b)

To show:

The function $ɸx=ex-x$ is an explicit solution to $dydx+y2=e2x+1-2xex+x2-1$ on the interval $-∞, ∞$ .

To determine

(c)

To show:

The function $ɸx=x2-x-1$ is an explicit solution to $x2d2y/dx2=2y$ on the interval $0, ∞$ is shown.

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Answer 5

Chapter 1.2, Problem 1E

To determine

(a)

To show:

The function $ɸx=x2$ is an explicit solution to $xdydx=2y$ on the interval $-∞, ∞$ .

To determine

(b)

To show:

The function $ɸx=ex-x$ is an explicit solution to $dydx+y2=e2x+1-2xex+x2-1$ on the interval $-∞, ∞$ .

To determine

(c)

To show:

The function $ɸx=x2-x-1$ is an explicit solution to $x2d2y/dx2=2y$ on the interval $0, ∞$ is shown.

Answer 6

Chapter 1.2, Problem 1E

To determine

(a)

To show:

The function $ɸx=x2$ is an explicit solution to $xdydx=2y$ on the interval $-∞, ∞$ .

Answer 7

Chapter 1.2, Problem 1E

To determine

(a)

To show:

The function $ɸx=x2$ is an explicit solution to $xdydx=2y$ on the interval $-∞, ∞$ .

Answer 8

To determine

(b)

To show:

The function $ɸx=ex-x$ is an explicit solution to $dydx+y2=e2x+1-2xex+x2-1$ on the interval $-∞, ∞$ .

Answer 9

To determine

(b)

To show:

The function $ɸx=ex-x$ is an explicit solution to $dydx+y2=e2x+1-2xex+x2-1$ on the interval $-∞, ∞$ .

Answer 10

To determine

(c)

To show:

The function $ɸx=x2-x-1$ is an explicit solution to $x2d2y/dx2=2y$ on the interval $0, ∞$ is shown.

Answer 11

To determine

(c)

To show:

The function $ɸx=x2-x-1$ is an explicit solution to $x2d2y/dx2=2y$ on the interval $0, ∞$ is shown.

Answer 12

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Answer 13

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Answer 15

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Answer 17

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Answer 23

Ch. 1.1 - Prob. 1E Ch. 1.1 - Prob. 2E Ch. 1.1 - Prob. 3E Ch. 1.1 - In Problems 1 - 12, a differential equation is...Ch. 1.1 - Prob. 5E Ch. 1.1 - Prob. 6E Ch. 1.1 - Prob. 7E Ch. 1.1 - Prob. 8E Ch. 1.1 - Prob. 9E Ch. 1.1 - Prob. 10E

(a) To show: The function ɸ x = x 2 is an explicit solution to x d y d x = 2 y on the interval - ∞ , ∞ .

Chapter 1 Solutions