in C++ please, with comments to guide the co
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Code in C++ please, with comments to guide the code.
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- Develop program of Euler method for solving the following differential equation = x³ + y with initial condition y(0) = 1, taking h = 0.01,0 ≤ x ≤ 0.05. dx Write code in Matlab.Write a program for solving the system Ax = b by cholesky’s decompositionUsing MATLAB, develop a computer program for the finite difference solution with general θ scheme for the 1D consolidation of a uniform layer of soil. Compare the results for θ=0, 0.5, 2/3 and 1.0 for α=0.49 and α=0.51 against the analytical solution of Terzaghi’s equation for T=0.5. Apply the program to both cases of double draining layer and single draining layer.
- please send solution for part a only handwritten solution acceptedTwo points on line 1 are given as (x1, y1) and (x2,y2) and on line 2 as (x3, y3) and (x4, y4), as shown in Figure 3.8a and b.The intersecting point of the two lines can be found by solving the following linearequations:(y1 - y2)x - (x1 - x2)y = (y1 - y2)x1 - (x1 - x2)y1(y3 - y4)x - (x3 - x4)y = (y3 - y4)x3 - (x3 - x4)y3This linear equation can be solved using Cramer’s rule . If the equation has no solutions, the two lines are parallel (see Figure). Write a program that prompts the user to enter four points and displays the intersectingpoint. Here are sample runs:A simple pendulum of length L, has a maximum angular displacement e_max. At one point in its motion, its kinetic energy is K = 3 J and its potential energy is U = 4.2 J. When the pendulum's angular velocity is one-fourth its maximum value (0' = %3D O'_max/4), then its kinetic energy is:
- Research at least two (2) other methods of solving simultaneous equation with three (3) variables aside from Cramer’s Rule and substitution method as solution.The van der Waal's equation of state is given as RT a v-b v² For sulfur dioxide at temperature, T, of 300 K and a pressure, P, of 1 atm, the constants are given as: R = 0.08206 L.atm/(mol.K) L2.mol² P = a = 6.7689 atm.L b=0.05679 L.mol™¹ a) Plot the function f(v)=0 the for volumes for the range of 0 to 40 L/mol using 0.5 increment. b) Identify the root in this plot (where the curve crosses x-axis). c) Use the MATLAB function (fzero) to solve the original f(v) function for the specific volume using the initial guess from part (c). d) Use the MATLAB function (roots) to solve the original f(v) function for the specific volume.please help me only in a and b. ASAP please show explanation for your solution please thanks
- Develop a solution to calculate a student’s grade average for one semester for five courses. The lettergrades should be entered and the grade average printed out. An A is equivalent to 4 grade points, a Bis 3 grade points; a C is 2 grade points, a D is 1 grade point, and an F is zero grade points write solution in c with if elseInstructions: Solve for the domain of the given functions. n(x) = cos(3x + 1)For a quadratic equation ax-+ bx + c = 0 (a#0), discriminant (b--4ac) decides the nature of roots. If it's less than zero, the roots are imaginary, or if it's greater than zero, roots are real. If it's zero, the roots are equal. For a quadratic equation sum of its roots = -b/a and product of its roots = c/a. Write a complete C program that calculates the roots of a quadratic equation. The program must request inputs of a,b, and c from the user and print the entered equation, and its roots into the output stream.