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Given a problem of the time dependent forced vibrations of the finite string as follows: V Length of the string is equal 5 , tension is 200 and density is equal 4. V Displacement of the left hand end depends on time and equal t? and on the right hand end of the string it is given a force equal sint. 7nx 17nx V Initial displacement of the string is equal -3sin- + 8sin- 10 x2 Зих + 2 V The string is exited with the Initial velocity equal 6sin V The force acting to the string is expressed by the function 21 πχ -10 sint – 10t sin- 2 x2 sin t + 10 2(x – 5)2 4t2 – - 25 Your task followings: 1. Specify the problem as mathematical model. Problem for u(x, t). 2. Write appropriate Transformation v(x, t) for the Step 1. 3. Finalize Step 1 and specify the problem for v(x, t).

Given a problem of the time dependent forced vibrations of the finite string as follows: V Length of the string is equal 5 , tension is 200 and density is equal 4. V Displacement of the left hand end depends on time and equal t? and on the right hand end of the string it is given a force equal sint. 7nx 17nx V Initial displacement of the string is equal -3sin- + 8sin- 10 x2 Зих + 2 V The string is exited with the Initial velocity equal 6sin V The force acting to the string is expressed by the function 21 πχ -10 sint – 10t sin- 2 x2 sin t + 10 2(x – 5)2 4t2 – - 25 Your task followings: 1. Specify the problem as mathematical model. Problem for u(x, t). 2. Write appropriate Transformation v(x, t) for the Step 1. 3. Finalize Step 1 and specify the problem for v(x, t).

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 32EQ
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Write appropriate Transformation ?(?, ?) for the Step 1.
Finalize Step 1 and specify the problem for ?(?, ?). 

Given a problem of the time dependent forced vibrations of the finite string as follows: V Length of the string is equal 5 , tension is 200 and density is equal 4. V Displacement of the left hand end depends on time and equal t? and on the right hand end of the string it is given a force equal sint. 7nx 17nx V Initial displacement of the string is equal -3sin- + 8sin- 10 x2 Зих + 2 V The string is exited with the Initial velocity equal 6sin V The force acting to the string is expressed by the function 21 πχ -10 sint – 10t sin- 2 x2 sin t + 10 2(x – 5)2 4t2 – - 25 Your task followings: 1. Specify the problem as mathematical model. Problem for u(x, t). 2. Write appropriate Transformation v(x, t) for the Step 1. 3. Finalize Step 1 and specify the problem for v(x, t).
Transcribed Image Text:Given a problem of the time dependent forced vibrations of the finite string as follows: V Length of the string is equal 5 , tension is 200 and density is equal 4. V Displacement of the left hand end depends on time and equal t? and on the right hand end of the string it is given a force equal sint. 7nx 17nx V Initial displacement of the string is equal -3sin- + 8sin- 10 x2 Зих + 2 V The string is exited with the Initial velocity equal 6sin V The force acting to the string is expressed by the function 21 πχ -10 sint – 10t sin- 2 x2 sin t + 10 2(x – 5)2 4t2 – - 25 Your task followings: 1. Specify the problem as mathematical model. Problem for u(x, t). 2. Write appropriate Transformation v(x, t) for the Step 1. 3. Finalize Step 1 and specify the problem for v(x, t).
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