Use Euler's method to integrate: y'=5x²-0.5y from x=0 to x=7 with a step size of 1. The initial condition at x = 0 is y = 4. The solution of the given equation at x = 7 is:
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- D.I 3.4-5. Use the graphical method to solve this problem: Minimize z = 15x, + 20x2, subject to x1 + 2x, 2 10 2x, – 3x2 < 6 X1 + x2 2 6 and X¡ 2 0, X2 2 0.D 3.1-5. Use the graphical method to solve the problem: Z = 10x1 + 20x2, Maximize subject to -x1 + 2x2 < 15 X1 + x2 < 12 5x1 + 3x2 < 45 and xị 2 0, X2 2 0.Use Euler's method, with step size, h = 0.1, to approximate the solution at t= 0.3 for the initial value problem dx = =x-t , x(0)=1 dt
- Use the graphical method to find the optimal solution for the following LP equations: Min Z=10 X1 + 25 X2 Subject to X1220, X2 ≤40 ,XI +X2 ≥ 50 X1, X2 ≥ 0.: Solve the following initial value problem by Laplace transformation: y" +9y=10e", y(0) = 0, y'(0)=0.(3) For the given boundary value problem, the exact solution is given as = 3x - 7y. (a) Based on the exact solution, find the values on all sides, (b) discretize the domain into 16 elements and 15 evenly spaced nodes. Run poisson.m and check if the finite element approximation and exact solution matches, (c) plot the D values from step (b) using topo.m. y Side 3 Side 1 8.0 (4) The temperature distribution in a flat slab needs to be studied under the conditions shown i the table. The ? in table indicates insulated boundary and Q is the distributed heat source. I all cases assume the upper and lower boundaries are insulated. Assume that the units of length energy, and temperature for the values shown are consistent with a unit value for the coefficier of thermal conductivity. Boundary Temperatures 6 Case A C D. D. 00 LEGION Side 4 z epis
- This question Has multiple parts, i need just the Part B solved, Part A is about driving the equation that is mentioned in part a, Use that equation and the table to solve part b, should be simple.GIVE ME THE COMPLETE SOLUTION FOR THISTHIS IS THE ANSWER AS PER THE ANSWER KEY JUST HELP ME WITH THE SOLUTION PLSX3/F = (16s^4 + 32s^3 + 56s^2 + 48s + 36)/(64s^6 + 192s^5 + 464s^4 + 568s^3 + 568s^2 + 312s + 72)Please solve the following by hand and without the use of AI. I am working to understand the step by step procedure of solving this problem so pleaase give a detailed step by step procedure, explaining each part as you go. Thank you!
- Use the Laplace transform to solve the following differential equation with the following initial conditions:Use the Lax method to solve the inviscid Burgers' equation using a mesh with 51 points in the x direction. Solve this equation for a right propagating discontinu- ity with initial data u = 1 on the first 11 mesh points and u = 0 at all other points. Repeat your calculations for Courant numbers of 1.0, 0.6, and 0.3 and compare your numerical solutions with the analytical solution at the same time.This is a multiple-part question, I just need help with part C, Table 2.2 is provided and you can refer to above parts for equations and boundary equations.