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by: Haikal Fouzi

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# ENGR 232 Dynamic Engineering System Homework 2 ENGR 232

Marketplace > Drexel University > Engineering and Tech > ENGR 232 > ENGR 232 Dynamic Engineering System Homework 2
Haikal Fouzi
Drexel
GPA 3.55

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Homework 2 guide
COURSE
Dynamic Engineering Systems
PROF.
Mr. Michael Ryan
TYPE
Study Guide
PAGES
8
WORDS
CONCEPTS
ENGR 232, Dynamic Engineering System, Homework 2
KARMA
50 ?

## Popular in Engineering and Tech

This 8 page Study Guide was uploaded by Haikal Fouzi on Monday January 18, 2016. The Study Guide belongs to ENGR 232 at Drexel University taught by Mr. Michael Ryan in Spring 2015. Since its upload, it has received 85 views. For similar materials see Dynamic Engineering Systems in Engineering and Tech at Drexel University.

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Date Created: 01/18/16
Drexel University, College of Engineering 2014-2015 Academic Year Drexel University Office of the Dean of the College of Engineering ENGR 232 – Dynamic Engineering Systems Homework 2 The problems will ma ke reference to the slides from lecture notes posted on the class website titled: “Lecture 2”. The material tested here will appear on Week 3 Quiz 2. Problem 1 (Solution Method: Integrating Factors) Find the general solution for the following differential equations: ▯ i. ▯ + 2▯ = 0 ii. ▯ + 2▯ = 3▯ ▯ ▯ iii. ▯ + ▯ = sin ▯ ( ) ▯ ▯ ▯ iv. ▯ + 3▯ ▯ = ▯ Solve the following initial value problems: i. ▯ ▯ ▯ = 1, ▯ 0 = 1) ii. ▯ ▯ ▯▯ = ▯ , ▯ 1 = 4 ▯ iii. ▯ + 2▯▯ = ▯ , ▯ 1 = 1) ▯ iv. ▯ + 2▯▯ = ▯, ▯ 0 = 1) Problem 2 (Separation of Variables) Solve the following differential equations by separation of variables: ▯ ▯ a. ▯ = ▯ ▯ ▯ b. 4▯▯▯ = ▯ + ▯▯ )▯▯ ▯ 1 = 1 ▯ ▯▯ c. ▯ = ▯▯▯▯ ▯ 2 = 0 ▯ d. ▯ = ▯ ▯▯▯ ▯ 0 = ▯1 ▯▯▯▯ ▯ ▯▯ e. ▯ = ▯▯▯ Problem 3 (Using ODE 45) Consider the following differential equation with initial conditions: ▯▯ = ▯ ▯ 3sin ▯ + ▯, ▯ 0 = 4 ▯▯ a. Write the MATLAB function of the differential equation that can be used by ode45. b. Write a script that will solve the differential equation shown for the given initial condition using ode45.

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