(a) To verify that x 2 y ' + e − y = 0 is separable and write it as e y d y = − x − 2 d x

Question

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Answer 1

Question

Chapter 9.1, Problem 11E

To determine

(a)

To verify that $x^{2} y' + e^{- y} = 0$ is separable and write it as $e^{y} d y = - x^{- 2} d x$

To determine

(b)

To integrate both sides to obtain $e^{y} = x^{- 1} + C$

To determine

(c)

To verify that $y = \ln (x^{- 1} + C)$ is the general solution.

To determine

(d)

To find the particular solution satisfying $y (2) = 4$

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Answer 2

Question

Chapter 9.1, Problem 11E

To determine

(a)

To verify that $x^{2} y' + e^{- y} = 0$ is separable and write it as $e^{y} d y = - x^{- 2} d x$

To determine

(b)

To integrate both sides to obtain $e^{y} = x^{- 1} + C$

To determine

(c)

To verify that $y = \ln (x^{- 1} + C)$ is the general solution.

To determine

(d)

To find the particular solution satisfying $y (2) = 4$

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 9.1, Problem 11E

To determine

(a)

To verify that $x^{2} y' + e^{- y} = 0$ is separable and write it as $e^{y} d y = - x^{- 2} d x$

To determine

(b)

To integrate both sides to obtain $e^{y} = x^{- 1} + C$

To determine

(c)

To verify that $y = \ln (x^{- 1} + C)$ is the general solution.

To determine

(d)

To find the particular solution satisfying $y (2) = 4$

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 9.1, Problem 11E

To determine

(a)

To verify that $x^{2} y' + e^{- y} = 0$ is separable and write it as $e^{y} d y = - x^{- 2} d x$

To determine

(b)

To integrate both sides to obtain $e^{y} = x^{- 1} + C$

To determine

(c)

To verify that $y = \ln (x^{- 1} + C)$ is the general solution.

To determine

(d)

To find the particular solution satisfying $y (2) = 4$

Expert Solution & Answer

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See solution

Answer 5

Chapter 9.1, Problem 11E

To determine

(a)

To verify that $x^{2} y' + e^{- y} = 0$ is separable and write it as $e^{y} d y = - x^{- 2} d x$

To determine

(b)

To integrate both sides to obtain $e^{y} = x^{- 1} + C$

To determine

(c)

To verify that $y = \ln (x^{- 1} + C)$ is the general solution.

To determine

(d)

To find the particular solution satisfying $y (2) = 4$

Answer 6

Chapter 9.1, Problem 11E

To determine

(a)

To verify that $x^{2} y' + e^{- y} = 0$ is separable and write it as $e^{y} d y = - x^{- 2} d x$

Answer 7

Chapter 9.1, Problem 11E

To determine

(a)

To verify that $x^{2} y' + e^{- y} = 0$ is separable and write it as $e^{y} d y = - x^{- 2} d x$

Answer 8

To determine

(b)

To integrate both sides to obtain $e^{y} = x^{- 1} + C$

Answer 9

To determine

(b)

To integrate both sides to obtain $e^{y} = x^{- 1} + C$

Answer 10

To determine

(c)

To verify that $y = \ln (x^{- 1} + C)$ is the general solution.

Answer 11

To determine

(c)

To verify that $y = \ln (x^{- 1} + C)$ is the general solution.

Answer 12

To determine

(d)

To find the particular solution satisfying $y (2) = 4$

Answer 13

To determine

(d)

To find the particular solution satisfying $y (2) = 4$

Answer 14

Expert Solution & Answer

Answer 15

Expert Solution & Answer

Answer 16

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Answer 17

Ch. 9.1 - Prob. 1PQ Ch. 9.1 - Prob. 2PQ Ch. 9.1 - Prob. 3PQ Ch. 9.1 - Prob. 4PQ Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E

(a) To verify that x 2 y ' + e − y = 0 is separable and write it as e y d y = − x − 2 d x

(a) To verify that x2y'+e−y=0 is separable and write it as eydy=−x−2dx

(b) To integrate both sides to obtain ey=x−1+C

(c) To verify that y=ln(x−1+C) is the general solution.

(d) To find the particular solution satisfying y(2)=4

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Chapter 9 Solutions

(a)

To verify that $x^{2} y' + e^{- y} = 0$ is separable and write it as $e^{y} d y = - x^{- 2} d x$

(b)

To integrate both sides to obtain $e^{y} = x^{- 1} + C$

(c)

To verify that $y = \ln (x^{- 1} + C)$ is the general solution.

(d)

To find the particular solution satisfying $y (2) = 4$