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Use 4th order AB-AM-predictor-corrector method to obtain the solution of the following initial value problem:
dy/dt = (-2t + y)2 - 7, y(0) = 0
i) Use a step size of h=0.1, h=0.05 and h=0.01 to find the approximate solutions on the interval 0 ≤ t ≤ 1;
ii) Given the analytic solution y = 2t + 3(1-e6t)/1-e6t, Compare the results of i) to the exact solution and comment on the accuracy of the numerical algorithm and adopted step size.
Solve differential equation of d 2 h /dx 2 =0 using the Galerkin method and considering 0 ≤ x ≤ 3 given that: h = 0 cm when x = 0 m and h = 10 cm when x = 3 m .
Find the enthalpy of steam at 0.4 MPa and 0.7 dryness and determine the amount of heat required to convert 4Kg of water at t=38 degrees C into dry saturated steam at 1 MPa gauge pressure
For the composite areas shown first determine the centroids and second determine the moment of inertia with respect to the centroidal axes Ixc and lyc.
Use the Crank-Nicolson procedure to solve the following partial differential equation
Discrete-time model for an economy
What is the probability that this string is a mirror image of itself and compute the probability that all of the balls in the sample are the same color
Analysis of the climograph, identifying the climate zone by name and Koppen-Geiger classification and a discussion of the controls on the climate that produce this pattern.
Find the equation of the tangent line to the graph and Find the velocity and the acceleration of the particle and position of a particle moving along a straight line
Determine the Laplace transform of the function by writing the function in terms of Heaviside functions and the method of Laplace transforms to solve the initial value problem
Suppose that in the four player game, the person who rolls the smallest number pays $5.00 to the person who rolls the largest number. Calculate each player's expected gain after one round.
Find the inverse transform and find the Laplace transform - Express the following function in terms of unit step functions
What general conclusions can you reach about the relationship between the relative sizes of the two masses and the corresponding reduced mass?
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