Prove that the eigenvalue problem
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Differential Equations: Computing and Modeling (5th Edition), Edwards, Penney & Calvis
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- (Conversion) An object’s polar moment of inertia, J, represents its resistance to twisting. For a cylinder, this moment of inertia is given by this formula: J=mr2/2+m( l 2 +3r 2 )/12misthecylindersmass( kg).listhecylinderslength(m).risthecylindersradius(m). Using this formula, determine the units for the cylinder’s polar moment of inertia.arrow_forwardSuppose that a parachutist with linear drag (m=50 kg, c=12.5kg/s) jumps from an airplane flying at an altitude of a kilometer with a horizontal velocity of 220 m/s relative to the ground. a) Write a system of four differential equations for x,y,vx=dx/dt and vy=dy/dt. b) If theinitial horizontal position is defined as x=0, use Euler’s methods with t=0.4 s to compute the jumper’s position over the first 40 s. c) Develop plots of y versus t and y versus x. Use the plot to graphically estimate when and where the jumper would hit the ground if the chute failed to open.arrow_forwardThe following is used to model a wave that impacts a concrete wall created by the US Navy speed boat.1. Derive the complete piecewise function of F(t) and F()The concrete wall is 2.8 m long with a cross-section area of 0.05 m2. The force at time equal zero is 200 N. It is also known that the mass is modeled as lumped at the end of 1200 kg and Young’s modulus of 3.6 GPa2. Use *Matlab to simulate and plot the total response of the system at zero initial conditions and t0 = 0.5 sarrow_forward
- Simulate in R the delta variation by SIR model. - Produce the code in Rarrow_forwardb. Simplify the Boolean function F(A,B,C,D)= N (0,1,2,5,6,8,11,13,14) expressed using K-map as follows: (3 Marks) Your solution should contain: Truth table, K-map and simplified expression.arrow_forwardfind the general solution to the following differential equation by using VARIATION OF PARAMETER method. y''+4y'+5y=e-2xsecxarrow_forward
- PLS ANSWERarrow_forwardThe electric flux density D at the point M (0,4,0) in the region about a uniform line charge of 1 nC/m lying along the z axis in free space is: Select one: a. None of the above b. 0.6366 nC/m c. 0.2387 nC/m d. 0.039 nC/m e. 0.1 nC/marrow_forwardUse Laplace Transform to solve the given initial value problem: I have my own answer, I just want to clarify the ideas in it and want to make sure if i solved it properly. Thank youarrow_forward
- Find the reduced Boolean expression for functions Yarrow_forwardExpress the Boolean function F = y + x z as a sum of minterms. Find the following: (a) List the -minterms of the function. (b) List the -minterms of F' (c) Express T.T in max of minterms in algebraic form. (d) draw the max term function.arrow_forwardThe displacement of an oscillating spring can be described by x = A cos(wt) where x = displacement at time t, A = maximum displacement, w = angular frequency, which depends on the spring constant and the mass attached to the spring, and t = time. Find the displacement, x, with maximum displacement A of 4 cm, for times from 0 to 120 seconds with increments of 30 seconds, and angular frequencies from 0.4 to 0.6 radians/sec, with increments of 0.1 radians/sec. The displacement for all combinations of times and angular frequencies needs to be calculated. Use meshgrid. Display your results in a matrix with angular frequencies along the top row and times along the left column like so (you may put zero, 0, or NaN, in the upper left corner:arrow_forward
- C++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology Ptr