mitt solve solutie Ut = 0.16 Uxx u (0₁ t) = u( 100₁ t) == U (x, 0) $² = 60 40 ans- u(x₁) = ≤ An e=U An e a

Q: (Computer test of two-timing) Consider the equation ï + €ż³ + x = 0. (a) Derive the averaged…

A: In this task, we were given a second-order homogeneous differential equation : x'' + ε (x')3 + x = 0…

Q: You have a data set with four independent variables and n = 42 observations. If the model is…

A: As per the question we are given a set of four independent variables with observations.Now we have…

Q: [3] Consider the equation for free mechanical vibration, my" + by' + ky = 0 and assume the motion is…

A: Given equation is, my''+by'+ky=0 So, the auxiliary equation of the given equation is,…

Q: Example Find a solution to the heat flow problem. ou дчи 04 = 70x², 0 0 (1) (2) u(0₁ t) = u(₁T₁ t) =…

A: Given ut=7uxx Let  ux,t=XxTtuxx=x''xTxut=XxT'tut=7uxx⇒XxT't=7X''xTx⇒T't7Tx=X''xXx=λ Case (i): λ=0…

Q: Suppose the lateral displacement of the center of a bridge may be modeled as a spring-and-mass…

A: Please see the next step for solution.

Q: OUESTION 2 Show That yi= dx ta ĝ yo =-x° are both soluhions of y= xy'+ (y)? Are the c wn stant…

A:

Q: Please write neatly and explain everything clearly

A: To show that V and I satisfy the telegraph equation, we can substitute the given values for V and I…

Q: Classical mechanics success when velocity is very large (as v -c),due to relativistic effects. 0…

A: Classical mechanics success​ when velocity is very large, due to relativistic effects. We need to…

Q: Jlgull In Classical mechanics a particle is distributed in space like a wave صواب ihi

A: In classical mechanics we use the analogy of wave function .

Q: 5.3.AP-5 In ADEF, C is the centroid. E If CM = 19, find DC and DM. DC = 38 units DM = units

A: Given CM = 19 units and C is the centroid

Q: velocity 4.9 m/s and initial position 9.8 m . Neglecting air resistance and A small stone is thrown…

A: Initial velocity, u=-4.9m/s (upwards)   acceleration of the stone, a=9.8m/s2    s=9.8m time taken…

Q: Fluid mechanies Define Flow field ?

A: The given question is solved below.

Q: Using Laplace transforms. Solve y" + 4y′ + 3y = e^t. When, y(0) = 0 and y′(0) = 0. Whole Solution

A:

Q: 9. Solve by using Laplace transforms: ƒ(t) = 3t² −e¯¹ – } e² ƒ(t–t)dt. 0

A:

Q: Bernoulli's Equation Obtain the particular solution when x=3 and y=2: 2xyy' = y2 – 2x3

A:

Q: A water trough is 6 m long and has a cross-section in the shape of an isosceles trapezoid that is 20…

A: Find the water level rising when water is 30cm deep

Q: Two cars, A and B, start side by side and accelerate from rest. The figure shows the graphs of their…

A: The two cars A and B are shown on the velocity versus time graph.The aim is to find :a) Which car is…

Q: af af e. Find g(x,y,z) = af +: az if f = xy²(z³ – 1) | ax ду

A: Given:    f = xy2(z3 - 1)   To find :  g(x, y, z) = ∂f∂x + ∂f∂y + ∂f∂z

Q: What are intermolecular forces? How do they differ from intramolecularforces? What are dipole-dipole…

A:

Q: The figure shows a person who slides, without friction, from the top of a slide (point A), joining a…

A: Given: t 0.0 0.3 0.6 0.8 1.0 1.2 1.8 2.4 3.0 3.6 4.2 v 4.0 3.9 3.7 3.5 3.3 2.9 2.5 2.0 1.25…

Q: y'+y = e°y* which substitution is suitable for the given bernouilli ode in order to get linear first…

A: Here we have a Bernoulli ode. We have to find its linear first order ode.

Q: please explain/show steps, thank you A) A bacteria culture is known to grow at a rate proportional…

A: Solution is given below:

Q: An object of mass m is attach a light elastic string of natura ends of the string are fixed at th

A: Given: The natural length l =6a And the stretched length ls = 10a.

Q: Ut = Uxx, 0 0, u(0, t) = 0, u(1, t) = 0, t > 0, u(x, 0) = x(1-x), 0<x< 1

A:

Q: A long metal wire with a linear density of p = 10 g/ m is characterized by a tension T = 400 N. A 10…

A:

Q: Cauchy Riemann equations are ou = -v and u = - v y х у х u =v and u =v х у у х и %3Dу апd и 3D — и…

A: Cauchy-Riemann equations is a useful condition to check differentiability of a complex function.

Q: The position of a moving particle is given by s 3t +9, then its acceleration at t = 7 is %3D 27 63…

A:

Q: number 18 please

A: Given,

Q: A 3 cm length silver bar with a constant cross section area 1 cm (density 10 g/cm³, thermal…

A: The equation is u t…

Q: Geberal solution of (3xy +3y - 4)dx+(x+1)²dy

A: