(a) Write the given equation as y 3 d y = 9 x 2 d x

Question

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Answer 1

Question

Chapter 9.1, Problem 12E

To determine

(a)

Write the given equation as $y^{3} d y = 9 x^{2} d x$

To determine

(b)

To integrate both sides to obtain $\frac{y^{4}}{4} = 3 x^{3} + C$

To determine

(c)

To verify that $y = {(12 x^{3} + C)}^{1 / 4}$ is the general solution

To determine

(d)

To find the particular solution satisfying $y (1) = 2$

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Answer 2

Question

Chapter 9.1, Problem 12E

To determine

(a)

Write the given equation as $y^{3} d y = 9 x^{2} d x$

To determine

(b)

To integrate both sides to obtain $\frac{y^{4}}{4} = 3 x^{3} + C$

To determine

(c)

To verify that $y = {(12 x^{3} + C)}^{1 / 4}$ is the general solution

To determine

(d)

To find the particular solution satisfying $y (1) = 2$

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 9.1, Problem 12E

To determine

(a)

Write the given equation as $y^{3} d y = 9 x^{2} d x$

To determine

(b)

To integrate both sides to obtain $\frac{y^{4}}{4} = 3 x^{3} + C$

To determine

(c)

To verify that $y = {(12 x^{3} + C)}^{1 / 4}$ is the general solution

To determine

(d)

To find the particular solution satisfying $y (1) = 2$

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 9.1, Problem 12E

To determine

(a)

Write the given equation as $y^{3} d y = 9 x^{2} d x$

To determine

(b)

To integrate both sides to obtain $\frac{y^{4}}{4} = 3 x^{3} + C$

To determine

(c)

To verify that $y = {(12 x^{3} + C)}^{1 / 4}$ is the general solution

To determine

(d)

To find the particular solution satisfying $y (1) = 2$

Expert Solution & Answer

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See solution

Answer 5

Chapter 9.1, Problem 12E

To determine

(a)

Write the given equation as $y^{3} d y = 9 x^{2} d x$

To determine

(b)

To integrate both sides to obtain $\frac{y^{4}}{4} = 3 x^{3} + C$

To determine

(c)

To verify that $y = {(12 x^{3} + C)}^{1 / 4}$ is the general solution

To determine

(d)

To find the particular solution satisfying $y (1) = 2$

Answer 6

Chapter 9.1, Problem 12E

To determine

(a)

Write the given equation as $y^{3} d y = 9 x^{2} d x$

Answer 7

Chapter 9.1, Problem 12E

To determine

(a)

Write the given equation as $y^{3} d y = 9 x^{2} d x$

Answer 8

To determine

(b)

To integrate both sides to obtain $\frac{y^{4}}{4} = 3 x^{3} + C$

Answer 9

To determine

(b)

To integrate both sides to obtain $\frac{y^{4}}{4} = 3 x^{3} + C$

Answer 10

To determine

(c)

To verify that $y = {(12 x^{3} + C)}^{1 / 4}$ is the general solution

Answer 11

To determine

(c)

To verify that $y = {(12 x^{3} + C)}^{1 / 4}$ is the general solution

Answer 12

To determine

(d)

To find the particular solution satisfying $y (1) = 2$

Answer 13

To determine

(d)

To find the particular solution satisfying $y (1) = 2$

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. 5PQ 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

(a) Write the given equation as y 3 d y = 9 x 2 d x

(a) Write the given equation as y3dy=9x2dx

(b) To integrate both sides to obtain y44=3x3+C

(c) To verify that y=(12x3+C)1/4 is the general solution

(d) To find the particular solution satisfying y(1)=2

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Chapter 9 Solutions

(a)

Write the given equation as $y^{3} d y = 9 x^{2} d x$

(b)

To integrate both sides to obtain $\frac{y^{4}}{4} = 3 x^{3} + C$

(c)

To verify that $y = {(12 x^{3} + C)}^{1 / 4}$ is the general solution

(d)

To find the particular solution satisfying $y (1) = 2$