A tightly stretched string of length I has its ends I fixed. The point x = is drawn aside by a small distance 'h' and 0. Find x = 0 and = l O and x released from the rest at time t = y(x, t) at any subsequent.

Q: Specifically a DiffEq problem. Question in pic below. Answer: x(t) = (11/5)e-7t - (6/5)e-2t meters

A:

Q: A flexible string of length t is tightly stretched between x = 0,x = n, on x-axis, its ends being…

A: To solve the problem we use the method of Laplace transformation also Laplace inverse transformation…

Q: Use the composite trapezoidal rule to find approximations to I = (t- cost) dt with n= 1, 2, 4, and…

A: The composite trapezoid rule: ∫abf(x)dx=h2f(a)+2∑i=1n-1fxi+f(b), where h=b-an,xi=a+ih,i=0,...,n The…

Q: 11. An ideal elastic string of length L is fixed at its right end, but its left end is attached to a…

A: The given problem is to find the solution for the given wave equation partial differential equation…

Q: This is a differential equations problem.

A:

Q: Q6) A string of infinite length is stretched from -0 to +0 and subjected to the following initial…

A: (a) Given that,  V(x)=1-1≤x<0-10≤x≤10otherwise The wave traveling to the right only is, W=∫0∞v(x)…

Q: The initial temperature of a long thin rod is u(x, 0) = 40, and the rod is divided into three equal…

A: Given the initial temperature function is, ux,0=40 As we know, ∂T∂t=α∂2T∂x2 Where,  α=0.8…

Q: Suppose that we are interested in the amount of salt (in kg) at a certain moment in time, denoted by…

A: To solve the given statements

Q: 1. A lifeguard is at point A on a straight shore AB, where point B is 100 ft from point A. He wishes…

A: This question is related to distance and speed we will solve it using given information.

Q: Use Newton's method (2.12.4) to find the minimum value of the lunction f(x) = x + x,x, + (1 + x,)'…

A:

Q: 3. A spring with an m-kg mass and a damping constant 9 can be held stretched 1 meters beyond its…

A:

Q: Suppose that a mass of 238 g stretches a spring 12 cm. The mass is also attached to a damper with…

A:

Q: A 16-lb weight is attached to the lower end of a coil spring sus-pended from the ceiling and having…

A:

Q: Q6) A string of infinite length is stretched from -o to +0 and subjected to the following initia…

A: Solve

Q: A 1/8-kg mass is attached to a spring with stiffness 16N/m. The damping constant for the system is…

A: In this question, we established a differential equation and solve that with given initial…

Q: a) A flexible string of length is tightly stretched between x = 0, x = π, on x-axis, its ends being…

A: The given problem is to solve the given partial differential equation with given initial conditions…

Q: 2 35) Find a curve through the point (-4, 1) whose length integral, 1 s y s 2, is L = 1 +

A:

Q: (. ) If a mass of 7 kg stretches a spring 3 cm beyond its natural length, what is the spring…

A:

Q: A 1-kilogram mass is attached to a spring whose constant is 21 N/m, and the entire system is then…

A:

Q: 4. Find the orthogonal trajectories of the family of curves: y = ke* %3D

A:

Q: A 1-kilogram mass is attached to a spring whose constant is 18 N/m, and the entire system is then…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: A 1-kg mass is attached to a spring whose constant is 16 N/m, and the entire system is then…

A: We have to find the equation of motion for given condition.

Q: The

A: Below is sketch of  the given function.    Rotation about x axis will give a volume in 3D plane.

Q: 3. Fimd the exact atea of the Sure Pace curve y=V5-x 3{x55 by Yotating the our X-aris.

A: The given curve is  y=5-x  ; 3≤x≤5

Q: 6. Consider the problem u; + u²ux = 0, |x| 0 satisfying the initial condition u(x,0) = %3D 1+x2 a.…

A: The complete solutions are given below

Q: if the mass is initially released from a point 1 meter below the equilibrium positon with an upward…

A: We will find the equation of motion as shown below

Q: Solve this.

A: Consider the following spring mass system.

Q: Q6) A string of infinite length is stretched from -0 to +0 and subjected to the following initial…

A: Given vx=1-1≤x<0-10≤x≤10otherwise

Q: 5. Find the orthogonal trajectories for a family of circles tangent to the at y-axis.

A: Here we have to find the orthogonal trajectories for a family of a circle tangent to the x-axis and…

Q: A 1-kilogram mass is attached to a spring whose constant is 27 N/m, and the entire system is then…

A: .

Q: 1st Case A 6-ft long rod (laterally insulated) has a thermal diffusivity of 1.5 ft2/hr and initial…

A: For (1), Let us first create the system in both cases and then we will be finding the general…

Q: A 1-kg mass is attached to a spring whose constant is 16 N/m, and the entire system is then…

A:

Q: If the curve y = ax^4 + bx^3 + cx^2 + dx + e pass through the point (-1, 8), be tangent to the line…

A: Definition used -           Equation of a tangent line -                         y-y1=f'(x1)(x-x1)…

Q: 3.A mass of 100 g stretches a spring 5 cm. If the mass is set in motion from its equilibrium…

A:

Q: 27. Find the length of the curve Vcos 2t dt y = from x = 0 to x = "/4.

A: The given curve is We know that by Second Fundamental theorem of calculus ,if F(x) is continuous on…

Q: Draw the slope fields of dy/dt = -t2y at integer values ( y is greater than or equal to -5 and less…

A:

Q: A 1-kilogram mass is attached to a spring whose constant is 21 N/m, and the entire system is then…

A: Given that a 1-kilogram mass is attached to a spring whose constant is 21 N/m, and the entire system…

Q: 6. Determine a, b, c and d so that the curve y = ax3 + bx2 + cx + d so that the curve will have a…

A: Note: Hi and thanks for your question! Unfortunately, as per our guideline, only one question should…

Q: A 1-kilogram mass is attached to a spring whose constant is 16 N/m, and the entire system is then…

A:

Q: A spring with constant k = 2 is suspended in a liquid that offers a damping force numerically equal…

A:

Q: What are the equilibrium solutions of the DE dy/dt=4ty−t? If there is more than one, list all of…

A: Given differential equation is  dydt=4ty-t             (i) Equilibrium solution of the system can be…

Q: 1. Find the orthogonal trajectories of the family of curve z + 3y = cy,where cis an arbitrary…

A: We will first find the differential equation of the of the given family of curves

Q: The heat distribution of a long thin rod can be determined by given heat- conduction equation aT OT…

A: In this problem, different conditions are given in the diagram and in the question. so anyone must…

Q: Suppose that a mass of 219 g stretches a spring 5 cm. If the mass is set in motion from its…

A:

Q: A 1-kilogram mass is attached to a spring whose constant is 24 N/m, and the entire system is then…

A: Given m=1,k=24,β=11 The general equation of motion for a spring mass system with damping is,…

Q: Q6) A string of infinite length is stretched from -00 to +0 and subjected to the following initial…

A: Given vx=1-1≤x<0-10≤x≤10otherwise

Q: A 1-kg mass is attached to a spring whose constant is 16 N/m, and the entire system is then…

A: From the given problem, we considered m= 1 kg,  k= 16 N/m, β=10 SO, the mass is released from the…

Q: Example 7: Aparticle of mass m is executing S. H. M. on the line joining the points A and B on moth…

A:

Q: Once again, a particle travels at velocity t – 1 at time t. Divide the interval 0, 2 into 2k…

A: A particle travels at the velocity t-1 at time t.  We now divide the interval 0, 2 into 2k intervals…