(a) The general solution using Separation of Variables and to show that if we set A = u 2 then d u d t = 1 2 k ( 1 − u 2 M )

Question

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Answer 1

Question

Chapter 9.4, Problem 12E

To determine

(a)

The general solution using Separation of Variables and to show that if we set $A = u^{2}$ then

$\frac{d u}{d t} = \frac{1}{2} k (1 - \frac{u^{2}}{M})$

To determine

(b)

To show that the general solution to Eq (7) is $A (t) = M {(\frac{C e^{(k / \sqrt{M}) t} - 1}{C e^{(k / \sqrt{M}) t} + 1})}^{2}$

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Answer 2

Question

Chapter 9.4, Problem 12E

To determine

(a)

The general solution using Separation of Variables and to show that if we set $A = u^{2}$ then

$\frac{d u}{d t} = \frac{1}{2} k (1 - \frac{u^{2}}{M})$

To determine

(b)

To show that the general solution to Eq (7) is $A (t) = M {(\frac{C e^{(k / \sqrt{M}) t} - 1}{C e^{(k / \sqrt{M}) t} + 1})}^{2}$

Expert Solution & Answer

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See solution

Answer 3

Question

Chapter 9.4, Problem 12E

To determine

(a)

The general solution using Separation of Variables and to show that if we set $A = u^{2}$ then

$\frac{d u}{d t} = \frac{1}{2} k (1 - \frac{u^{2}}{M})$

To determine

(b)

To show that the general solution to Eq (7) is $A (t) = M {(\frac{C e^{(k / \sqrt{M}) t} - 1}{C e^{(k / \sqrt{M}) t} + 1})}^{2}$

Expert Solution & Answer

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See solution

Answer 4

Question

Chapter 9.4, Problem 12E

To determine

(a)

The general solution using Separation of Variables and to show that if we set $A = u^{2}$ then

$\frac{d u}{d t} = \frac{1}{2} k (1 - \frac{u^{2}}{M})$

To determine

(b)

To show that the general solution to Eq (7) is $A (t) = M {(\frac{C e^{(k / \sqrt{M}) t} - 1}{C e^{(k / \sqrt{M}) t} + 1})}^{2}$

Expert Solution & Answer

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Answer 5

Chapter 9.4, Problem 12E

To determine

(a)

The general solution using Separation of Variables and to show that if we set $A = u^{2}$ then

$\frac{d u}{d t} = \frac{1}{2} k (1 - \frac{u^{2}}{M})$

To determine

(b)

To show that the general solution to Eq (7) is $A (t) = M {(\frac{C e^{(k / \sqrt{M}) t} - 1}{C e^{(k / \sqrt{M}) t} + 1})}^{2}$

Answer 6

Chapter 9.4, Problem 12E

To determine

(a)

The general solution using Separation of Variables and to show that if we set $A = u^{2}$ then

$\frac{d u}{d t} = \frac{1}{2} k (1 - \frac{u^{2}}{M})$

Answer 7

Chapter 9.4, Problem 12E

To determine

(a)

The general solution using Separation of Variables and to show that if we set $A = u^{2}$ then

$\frac{d u}{d t} = \frac{1}{2} k (1 - \frac{u^{2}}{M})$

Answer 8

To determine

(b)

To show that the general solution to Eq (7) is $A (t) = M {(\frac{C e^{(k / \sqrt{M}) t} - 1}{C e^{(k / \sqrt{M}) t} + 1})}^{2}$

Answer 9

To determine

(b)

To show that the general solution to Eq (7) is $A (t) = M {(\frac{C e^{(k / \sqrt{M}) t} - 1}{C e^{(k / \sqrt{M}) t} + 1})}^{2}$

Answer 10

Expert Solution & Answer

Answer 11

Expert Solution & Answer

Answer 12

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Answer 13

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) The general solution using Separation of Variables and to show that if we set A = u 2 then d u d t = 1 2 k ( 1 − u 2 M )