Fill This Form To Receive Instant Help

Help in Homework
trustpilot ratings
google ratings


Homework answers / question archive / Problem 7: A second order differential equation is given below day dy + 4 dx² dx 2 5y + 5x At x = 0 and 1, the y values are 0 and 1 respectively a) Transform this equation into a pair of ODES

Problem 7: A second order differential equation is given below day dy + 4 dx² dx 2 5y + 5x At x = 0 and 1, the y values are 0 and 1 respectively a) Transform this equation into a pair of ODES

Sociology

Problem 7: A second order differential equation is given below day dy + 4 dx² dx 2 5y + 5x At x = 0 and 1, the y values are 0 and 1 respectively a) Transform this equation into a pair of ODES. b) Write the pseudo-code to help you solve this system. c) Use the finite difference method with the discrete approximations of the derivatives. Set up the system of linear equations using h = 0.2. d) Write the generated set of linear equations in matrix form. Indicate how you would solve it using matrix operation. DO NOT SOLVE. Problem 1: 100 mol/hr of liquid methanol, CH3OH is burned with 100% excess air. CH3OH + O2- CO2 + H2O a) Draw a labeled flowchart describing the process. b) Perform a degree of freedom analysis for the reactor and state your conclusion. c) With the information provided write the balance equations for the reactor that will help you solve the problem. Assume 80% conversion of methanol. d) Write the set of the linear equations generated in matrix form. Clearly indicate how you would solve the system of equations using matrix operations in MATLAB. e) Find the solution to the system of linear equations and print your output. Make suitable assumptions if needed. Numerical Approximation of the derivative • First Order Derivative; = • Forward Difference x(t +h)-x(t) x'(t, x) h • Backward Difference x(t) - x(t-h) x'(t, x) = h Central Difference x(t + h) - X(t - h) x'(t, x) = 2h • Second Order Derivative: Central Difference x(t + h) - 2x(t) + x(t - h) x"(t, x) = = h2 Numerical Approximation of the derivative • First Order Derivative: • Forward Difference x(t + h) – x(t) x'(t, x) h • Backward Difference x(t) - X(tch x'(t, x) = h • Central Difference x(t + h) - xt - h) x'(t, x) = 2h • Second Order Derivative: Central Difference x(t + h) - 2x(t) + X( th) x"(t, x) = h2 Degree of Freedom Analysis DOF = Variable – Equations Variables (unknowns) Streams Equations Specified flows (basis) System Specifications (relative flows) Independent Balances Reactions Accumulation a streams CH N, mol I basis 2 specifications CH 2 rxns acc 0 6 6 balances , Var ? egns 12 dof 01/29/2021 hz 2 yiti-zy i tyini + zhry KERS [[2h + Dyiti Plug in hao.2: 0.Ayiti - 2.29; + 0.60 4 yiti - 22y: + Gyi-s-2X Node -2: 4y8 -224 + 6 -0. Ayz - 22ya Node-3 : Ayg. 22y3 +by Aya-22gs + by a no . Node -4: de Finite Difference Method Numerical Approximation of the derivative • First Order Derivative: tha Is xo O . + Forward Difference x(t + h) - X(t) x'(t, x) = h Backward Difference x(t) - X(th) x'(t, x) = h • Central Difference x(t + h) - x(t - h) x'(t, x) = 2h • Second Order Derivative: Central Difference x(t + h) - 2x(t) + x(t - h) x"(t, x) h2 Finite Difference Method Index Notation • First Order Derivative: *1*1-* • Forward Difference Xi+1 - Xi x'(t, x) = h • Backward Difference Xi - Xi-1 ' h • Central Difference Xi+1 - Xi-1 x'(t, x) = 2h • Second Order Derivative: Central Difference X;+1 - 2x?+x;-1 + -1 x"(t, x) = h2

Option 1

Low Cost Option
Download this past answer in few clicks

16.89 USD

PURCHASE SOLUTION

Already member?


Option 2

Custom new solution created by our subject matter experts

GET A QUOTE

Related Questions