Show that y = Asin(2rx/2) is a solution to the one-dimensional Schroedinger equation i.e. if you substitute y on both side of the equation you get an equality.

Q: Based on the following figure: If 5<p<8 , 45°<p<65° , 3<z<6 the surface area of region defined by…

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Q: Evaluate and sketch the line integral : I Pyx dx + (2X- Y)dy around the region bounded by curves…

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Q: The astronomical object 4U014 + 61 has the distinction of creating the most powerful magnetic field…

A: The length of the object is L=2.5 m. The current through the wire is A=1.1 A. The angle of magnetic…

Q: The solution of the following linear differential equation xy' – 4y = x³ is

A: Solution:

Q: Which of the following are correctly defined periodic functions: I1 h(t)=t+3, 0<t<2, h(t+4)3h(t) Il…

A: given; find periodic fumction;(i)h(t)=t+3 ,0&lt;t&lt;2  ,h(t+4)=h(t)(ii) g(t)=sin(t) ,0&lt;t&lt;π,…

Q: dw of w =-+ dt H.W: Use the chain rule to find the derivative dw with x = cos t, y = sin?t, z =! 1…

A: Use chain rule to solve the problem

Q: Consider the following linear equations -7x + 8y + 4z - 7x + (25 – k)y + 3z = 11 - 7x + 8y + (7 –…

A: The given set of equations are:

Q: Consider the two point BVP: -u" + 3u = 1, 0 <x<1, with u(0) = u(1) = 0

A: A two-point boundary value issue is defined when the solution and derivatives are stated at only…

Q: I'm wondering how z2 was derived. I've highlited where I am getting confused. Shouldn't the…

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Q: Find the general solution for the following differential equation dy (r +3)- dr + (r+ 4)y = x²e-

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Q: Find the solution to the equation 2x'y' = y(y + 3x) using the method for Bernoulli's Equation. %3D

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Q: Q = 60 N %3D 25° P = 40 N | 20° A

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Q: The equation v=vo+at is applicable provided that rectilinear motion O velocity is constant…

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Q: Determine the exact solution of the following differential equation y = 2-y at y(0)=1. So the value…

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Q: We are considering a homogeneous linear system Ax b, where b = 0 and with A being an nxn, then the…

A: From Homogeneous linear system Ax = b  Where b = 0 One solution is non zero then it is non trivial…

Q: Find the coefficient of volume expansion of helium at 27 C? O 0.057 O 0.025 O 0.037 O 0.0030 O not…

A: This question is from thermodynamics.  Given temperature T= 27degree centigrade.

Q: Transcribe the hamiltonian onto the Heisenberg square V3 2a H

A: Given: Hamiltonian, H^=α3ββ2α

Q: 2) Show that y = A cos x + Bsin x, where A and B are constants, is a general solution of the…

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Q: H.w: For A = 2i + 3j and B=-li+5j, find the component of A along Band the projection of A onto B.

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Q: How Johnson's equation of column differs from the Euler's equation? Explain briefly

A: Column is a long vertical member which is subjected to an axial compressive load and rigidly fixed…

Q: Using an appropriate method, find the general solution for the following differential equation, dy…

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Q: An open circular cylinder of 20 cm diameter and 120 cm long contains watr up to a height of 80 cm.…

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Q: 2. Show the steps in the derivation of the Bernoulli's equation

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Q: EX Find. W and.wat the point.(uv.).(-20).. ne and.Z=u.e.

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Q: y у%3 х (2х + 1)3

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Q: Given the differential equation dy = x² + y² 2 dx = with y (0) 1, compute y (0.02) using Euler's…

A: Apply modified Euler's method with serp size 0.01

Q: 3. A tank contains 100 gal of brine in which 50 lb of salt is dissolved. Brine containing 2 lb/gal…

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Q: Obtain the general solution to the equation. (x² + 1) dy + xy = 8x, y(0) = 1 dx

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Q: Consider the 4-node isoparametric element. Show that at the origin of the re n = 0: an, y2 - Y4 əx…

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Q: Eliminating the arbitrary constant A in the equation y = sec*(x – A) will lesd to which of the…

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Q: f (t) = t 2.

A: Given, ft=t2

Q: Plz answer this engineer math question ASAP,and used parameter equation,thx find the derivative…

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Q: Q = K.A, 2gAh

A: Write Bernoulli’s equation. Here, P1, v1, h1 represent the pressure, velocity, and height at point…

Q: What is the resultant if the equilibrant is 10N , 30° N of E?

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Q: Solve the following differential equation: dy 2y – x*e-2x = 0 dx

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Q: E. In Excrcises I and 2, find the domains and ranges of f, g.f+g. and f'g. 1. f(x) = x, g(x) = Vx- 1…

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Q: Draw the corresponding scheme and find the equation on the right. Method used and Four assumptions…

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Q: a) Consider the limits of integration while solving this problem. The larger (upper) limit of…

A: a) The larger (upper) limit of integration for the Q direction is π rad.   b) The smaller (lower)…

Q: 1)State the order of each of the following differential equations b) y'' + 2y" + y'=0

A: Answer: The order of given differential equation ( y"'+ 2y" + y' = 0 ) is 3.

Q: The value of the constant a of (r² + 5æy)dr + (ax² + 3y²)dy if the differential equation is exact,…

A: EXACT DIFFERENTIAL EQUATION: The differential equation Mdx+Ndy=0, is said to to be exact…

Q: Obtain the general solution to the equation. dy (x2 + 25) + xy =7x, y(0) = 1 dx

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Q: Solve the second order homogeneous differential equation y " -6y'- 7y = 0 with intial values y(0) =…

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Q: E, +ɛ, ¸ E, - E, cos 20+ 2 - sin 20 2 From this expression prove mathematically by substituting…

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Q: H.W: find and ôu as functions of u and v if: z = 4e* In y, x= In(u cos v) , y=u sin v

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Q: Ex5/ Oxygen (02) has pressure (15.5 bar) and temperature (410 °C). Calculate the density of 02? If…

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Q: u Faces of the resultant system of converging forces in Figure (2). 1KN 2000 Fal 500N 400N X

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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