Euler's method is a numerical method for generating a table of values (xi, yi) that approximatethe solution of the differential equation y' = f(x,y) with boundary condition y(xo) = yo. The firstentry in the table is the starting point (xo , yo.). Given the entry (xi , yi ), then entry (xi+1 , yi+1) isobtained using the formula xi+1 = xi + x and yi+1 = yi + xf(xi , yi ). Where h is the small valuecalled step size. use c++ code and Use Euler's method to estimate the value of y when x = 2.5 for the solution of the differentialequation y' = x + 3y/x with the boundary condition y(1) = 1. Take x = 0.1, the exact solution ofthis differential equation is y = 2x^3- x^2.. Compare your approximation values with the exact value.

Q: A simple pendulum of length L, has a maximum angular displacement e_max. At one point in its motion,…

A:

Q: 1. Given the function, f(A, B, C, D,E) = E m(prime number:"5 input variables that generates output 1…

A: 5-variable binary numbers: In this total numbers are 32 those are from 0 to 31 in binary…

Q: Given F 1 = ∑ m (1, 4 , 5 , 7 ) and F 2 = ∑ m ( 1 , 2 , 3 , 7 ), find the minterm expression for F1…

A: Here in this question we have given two function F1 and F2..along with thier min terms.and we have…

Q: f (x) = -x2+ 8x - 12 Determine the maximum and the corresponding value of x  using: Newton’s…

A: Solution for the given,   f (x) = -x2+ 8x - 12   Determine the maximum and the corresponding value…

Q: Develop program of Euler method for solving the following differential equation = x³ + y with…

A: Here is the matlab code. See below step for code

Q: An observation indicates that the frog population Q(t) in a small pond is 25 initially and satisfies…

A: The answer is given below:-

Q: that for every complex number z for any positive integer n, (z − 2)" is either a pur umber or a pure…

A: Note: Since you have not provided a language name to write the code so I am using java language to…

Q: Q1/ The ideal gas equation of state is given by: PV = nRT Where: P is the pressure (atm), V is the…

A: Below I have provided an matlab program for the given question. Also, I have attached a screenshot…

Q: False True ceil(x) Round to smallest intergerned less than x floor(x) Round to largest integer not…

A: 1. Ceil(x) function is used to return the smallest integer that is greater than or equal to X. That…

Q: Apply Bisection method to find the root (only one root) of the function: f(x) = 8sin(x) + 8cos(x)…

A: Program Approach:- 1. Include header file 2. Create the user-defined whose name is f_1(double a1).…

Q: log 2 (x +3) x2 +3x + 2 Find the domain of definition of f (x)=

A: Solution :-_

Q: A discharge factor is a ratio which compares the mass flow rate at the end of a channel or nozzle to…

A: Code…

Q: Numerical Integration - Constant Increment The area under a curve can be estimated by breaking the x…

A: This MATLAB code estimates the area under the curve of a given function, (x^2 + 2^x)/ln(x), using…

Q: 2Runge-Kutta Order 4 (RK4) Method is a commonly used numerical solution method for ordinary…

A: Ranga-Kutta order 4 incomplete pseudocode method is given  so the complete pseudocode is given below…

Q: Q1:For the following circuit find voltage gain, current gain input impedance ,output impedance…

A: Answer :-

Q: Newton's Method to determine x5 for f(x) = x³ – 7x² + 6x – 2 if xo = 4.

A: Newton's method to determine x5 for the f(x)

Q: Q1/ Simplify the following Boolean functions in products of sums using K-map: a) F (w, x, y, z) =…

A: simplify the boolean function in products of sum using K-map a) F (w, x, y, z) =∑ (0, 2, 5, 6, 7, 8,…

Q: 3. Using a four-variable K-map, what is the simplified Boolean function? F (w.x.y.z) =…

A: What is K Map: A Karnaugh map, also known as a K-map, is a graphical tool used in digital logic to…

Q: A simple pendulum is formed of a rope of lengthL= 2.2 m and a bob of mass m. When the pendulum makes…

A:

Q: Find the approximate root of the function f (z) = DOF <0.0001 cos(4x)- x sin a, xo 7 using…

A: Here in this question we have given a function and we have asked sto apply newton raphson method to…

Q: Case 2:Temperature Distrbution In Thin Rod The differential equation derives from a heat balance for…

A:

Q: Q1/ Simplify the following Boolean functions in products of sums using K-map: (0, 2, 5, 6, 7, 8, 10)…

A: Given Query: 1. F(w,x,y,z) = Minterms(0,2,5,6,7,8,10) 2. F(A,B,C,D) = Maxterms(1,3,5,7,13,15)

Q: Instructions: Solve for the domain of the given functions. n(x) = cos(3x + 1)

A: Description and logic.   In this assignment, you need to calculate the trigonometry cos value. So…

Q: 1. Using the RK4 method, give the numerical approximation for the IVP: y' = ty; y(0) = e; with a…

A:

Q: Develop program of Euler method for solving the following differential equation = x³ + y with…

A: Here is the matlab code of above problem. See below step for code.

Q: The graph shows the temperature T, in degrees Fahrenheit, of molten glass t seconds after it is…

A: ANSWER:A)The correct answer of the questions is Option("This is the natural of glass") EXPLANATION…

Q: Part 8: Use the simplified sum-of-minterms expressions to generate the truth table, the K-Map, and…

A: 20. The truth table, expression, KMap and diagram are in the below image.

Q: f(x, y, z, w) = E{(0,1,4,7, 10, 11, 13, 14) + d(2,5, 8, 15)]

A: The given Boolean function is four variable functions and there is don’t care condition is also…

Q: Minimize the following boolean function- F(A, B, C, D) = Em(0, 1, 3, 5, 7, 8, 9, 11, 13, 15)

A:

Q: The electric flux density D at the point M (0,4,0) in the region about a uniform line charge of 1…

A:

Q: 1. Write a program that obtains the first-order and second-order derivatives from the five- point…

A: SUMMARY: -   Hence, We discussed all the points

Q: Find a closed form solution for \max_{\theta \in C_{t-1}} . You may want to use the Lagrange…

A: ANSWER: A compelled streamlining issue can be by and large considered as min…

Q: The population of a community is known to increase at a rate proportional to the number of people…

A: The population of the community is said to increase at rate proportional to the number of people…

Q: The van der Waals equation gives a relationship between the pressure p (in atm), volume V (in L),…

A: Define the van der Waals equation: p = nRT/(V-nb) - n^2a/V^2 Rewrite the equation as a third-order…

Q: pordinates by: r(t) = 20 + 30(1 - -0.1r) meters e(t) = 1(1 – e-0.2t) Plot the trajectory (position)…

A: MATLAB code: % Defining the function of theta(t) theta = @(t) pi * (1 - exp(-0.2 * t)); % Defining…