(a) That α ( x ) = x is an integrating factor

Question

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Answer 1

Question

Chapter 10.5, Problem 1E

To determine

(a)

That $α (x) = x$ is an integrating factor

To determine

(b)

That when multiplied by $α (x)$ , the differential equation can be written as $(x y)' = x^{4}$

To determine

(c)

That $x y$ is an anti-derivative of $x^{4}$ and use this information to find the general solution

To determine

(d)

The particular solution satisfying $y (1) = 0$

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Answer 2

Question

Chapter 10.5, Problem 1E

To determine

(a)

That $α (x) = x$ is an integrating factor

To determine

(b)

That when multiplied by $α (x)$ , the differential equation can be written as $(x y)' = x^{4}$

To determine

(c)

That $x y$ is an anti-derivative of $x^{4}$ and use this information to find the general solution

To determine

(d)

The particular solution satisfying $y (1) = 0$

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Answer 3

Question

Chapter 10.5, Problem 1E

To determine

(a)

That $α (x) = x$ is an integrating factor

To determine

(b)

That when multiplied by $α (x)$ , the differential equation can be written as $(x y)' = x^{4}$

To determine

(c)

That $x y$ is an anti-derivative of $x^{4}$ and use this information to find the general solution

To determine

(d)

The particular solution satisfying $y (1) = 0$

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Answer 4

Question

Chapter 10.5, Problem 1E

To determine

(a)

That $α (x) = x$ is an integrating factor

To determine

(b)

That when multiplied by $α (x)$ , the differential equation can be written as $(x y)' = x^{4}$

To determine

(c)

That $x y$ is an anti-derivative of $x^{4}$ and use this information to find the general solution

To determine

(d)

The particular solution satisfying $y (1) = 0$

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Answer 5

Chapter 10.5, Problem 1E

To determine

(a)

That $α (x) = x$ is an integrating factor

To determine

(b)

That when multiplied by $α (x)$ , the differential equation can be written as $(x y)' = x^{4}$

To determine

(c)

That $x y$ is an anti-derivative of $x^{4}$ and use this information to find the general solution

To determine

(d)

The particular solution satisfying $y (1) = 0$

Answer 6

Chapter 10.5, Problem 1E

To determine

(a)

That $α (x) = x$ is an integrating factor

Answer 7

Chapter 10.5, Problem 1E

To determine

(a)

That $α (x) = x$ is an integrating factor

Answer 8

To determine

(b)

That when multiplied by $α (x)$ , the differential equation can be written as $(x y)' = x^{4}$

Answer 9

To determine

(b)

That when multiplied by $α (x)$ , the differential equation can be written as $(x y)' = x^{4}$

Answer 10

To determine

(c)

That $x y$ is an anti-derivative of $x^{4}$ and use this information to find the general solution

Answer 11

To determine

(c)

That $x y$ is an anti-derivative of $x^{4}$ and use this information to find the general solution

Answer 12

To determine

(d)

The particular solution satisfying $y (1) = 0$

Answer 13

To determine

(d)

The particular solution satisfying $y (1) = 0$

Answer 14

Expert Solution & Answer

Answer 15

Expert Solution & Answer

Answer 16

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Answer 17

Ch. 10.1 - Prob. 1PQ Ch. 10.1 - Prob. 2PQ Ch. 10.1 - Prob. 3PQ Ch. 10.1 - Prob. 4PQ Ch. 10.1 - Prob. 1E Ch. 10.1 - Prob. 2E Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E

(a) That α ( x ) = x is an integrating factor

Solution Summary: The author explains that (x ) = x is an integrating factor. Multiply the given equation to determine the required proof.

Concept explainers

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(a)

That $α (x) = x$ is an integrating factor

(b)

That when multiplied by $α (x)$ , the differential equation can be written as $(x y)' = x^{4}$

(c)

That $x y$ is an anti-derivative of $x^{4}$ and use this information to find the general solution

(d)

The particular solution satisfying $y (1) = 0$

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Chapter 10 Solutions

(a) That α ( x ) = x is an integrating factor

Solution Summary: The author explains that (x ) = x is an integrating factor. Multiply the given equation to determine the required proof.

Concept explainers

Videos

(a) That α(x)=x is an integrating factor

(b) That when multiplied by α(x), the differential equation can be written as (xy)'=x4

(c) That xy is an anti-derivative of x4 and use this information to find the general solution

(d) The particular solution satisfying y(1)=0

Want to see the full answer?

Chapter 10 Solutions

(a)

That $α (x) = x$ is an integrating factor

(b)

That when multiplied by $α (x)$ , the differential equation can be written as $(x y)' = x^{4}$

(c)

That $x y$ is an anti-derivative of $x^{4}$ and use this information to find the general solution

(d)

The particular solution satisfying $y (1) = 0$