03: A uniform string of length (0.1m) is stretched between the points (0,0) and (0.1,0) is given the initial velocity: 9(x) = {1 2x 0 < x < 0.05 - 2x If the general equation for the vibration of such string is; 0.05 < x < 0.1 azy = 2 ay 3x² 8t² And its solution by the separation of variables gives the equation; y(x,t) = Σ n=1 sin 10nx (A, cos(10cnnt) + B sin(10cnnt)} Determine the expression for A, and Br Numerical

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A: The given DE is linear first order DE.

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A: Given height:- ht=104t-16t2

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A: We differentiate both sides with respect to t.

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A: The solution is given as

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Q: 22. Suppose the velocity of a particle moving on the number line is given by v(t) = 61² – 4t for…

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A: To find the tangent to the curve

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: This is an homogeneous linear differential system. We will solve by this using eigenvalues and…

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A: Accelaration at=8t-5

Q: Q5) A string of infinite length is stretched from o to +oo and subjected to the following initial…

A: Consider the provided question, (5) Given,  hx=11+x;   -∞&lt;x&lt;+∞