Explanation Given: The given equation is d h d t = − c A h A w 2 g h . Calculation: Consider the equation. d h d t = − A h A w 2 g h (1) Where A w is cross sectional area of water and condition is h ( 0 ) = H . Now. d h d t = − A h A w 2 g h d h 2 g h = − A h A w d t Integrate both sides. ∫ d h 2 g h = − A h A w ∫ d t 1 2 g 2 2 g h = − A h A w t + c 1 g 2 g h = − A h A w t + c Put t = 0 and h = H . 1 32 2 × 32 H = ( − A h A w × 0 ) + c c = 1 32 64 H c = H 4 Put the value of c in above equation To determine (b) To find: Time required to empty the tank.

6th Edition

ISBN: 9781284127003

Author: ZILL

Publisher: JONES+BARTLETT LEARNING,LLC (CC)

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Chapter 2.8, Problem 13E

To determine

(a)

To find: The solution of the differential equation and sketch the graph of h(t).

To determine

(b)

To find: Time required to empty the tank.

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Chapter 2.8, Problem 12E

Chapter 2.8, Problem 14E

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Chapter 2 Solutions

EBK ADVANCED ENGINEERING MATHEMATICS

Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E

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(a) To find: The solution of the differential equation and sketch the graph of h ( t ) .

Solution Summary: The author explains the solution of the differential equation and the graph of h(t).

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(a)

To find: The solution of the differential equation and sketch the graph of h(t).

(b)

To find: Time required to empty the tank.

Want to see the full answer?

Chapter 2 Solutions

(a) To find: The solution of the differential equation and sketch the graph of h ( t ) .

Solution Summary: The author explains the solution of the differential equation and the graph of h(t).

Videos

(a) To find: The solution of the differential equation and sketch the graph of h(t).

(b) To find: Time required to empty the tank.

Want to see the full answer?

Chapter 2 Solutions

(a)

To find: The solution of the differential equation and sketch the graph of h(t).

(b)

To find: Time required to empty the tank.