Plot the specified output by using the RK4 method. (4 ddot{x}+3 dot{x}+2 x|x|=frac{1}{2}+sin t, quad x(0)=1, quad

Question:

Plot the specified output by using the RK4 method.

$4 \ddot{x}+3 \dot{x}+2 x|x|=\frac{1}{2}+\sin t, \quad x(0)=1, \quad \dot{x}(0)=-1, \quad 0 \leq t \leq 15$, output : $x$

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Modeling And Analysis Of Dynamic Systems

ISBN: 9781138726420

3rd Edition

Authors: Ramin S. Esfandiari, Bei Lu

See More Books

Question Posted: Mar 22, 2024 11:34 AM

See More Questions

Q1. You have identified a market opportunity for home media players that would cater for older members of the population. Many older people have difficulty in understanding the operating principles...
a. Example 13-1: Batch Reactor with an Exothermic Reaction Wolfram 1. Adiabatic Case: Use Wolfram to see whether you can find a trajectory that is ready to ignite and whose trajectory looks like a...
Plot the specified output by using the RK4 method. \(2 \dddot{x}+9 \ddot{x}+10 \dot{x}+3 x^{2}=e^{-2 t / 5}, \quad x(0)=0, \quad \dot{x}(0)=-\frac{1}{4}, \quad \ddot{x}(0)=0, \quad 0 \leq t \leq...
Consider the real projective n-space RP" obtained by identifying each point S" with its antipode -r. (a) Compute its fundamental group. (b) Find all its covering spaces up to isomorphism.
During the week of August 21, Parley Manufacturing produced and shipped 4,000 units of its machine tools: 1,500 units of Tool SK1 and 2,500 units of Tool SK3. The cycle time for SK1 is 0.73 hour, and...
Do you act differently as a leader when surrounded by others of your same gender than when you are in the minority?
1 Explique cmo se aplicaran las cuatro I de los servicios a un hotel Marriot.
What does each of the following categories of ratios attempt to measure? (a) Liquidity; (b) Long-term borrowing capacity; (c) Profitability. Name a group of users who might be interested in each...
Required information [The following information applies to the questions displayed below) The following events apply to Gulf Seafood for the Year fiscal year 1. The company started when it acquired...
The temperature of a steel sphere with initial temperature $T_{0}$ submerged in water with temperature $T_{i}$ is governed by the initial-value problem \[R C \dot{T}+T=T_{i}, \quad T(0)=T_{0}\]...
A second-order dynamic system is modeled as \[4 \ddot{x}+4 \dot{x}+5 x=0, \quad x(0)=0.4, \dot{x}(0)=0\] a. Find the free response $x(t)$. b. $A$ Plot the free response by using the initial...
In 2008, California voters approved a state ballot initiative to ensure that chicken coops have more room. This led to a 2010 California state law requiring that, beginning in 2015, all eggs sold in...
Which industries gain and which industries lose from the availability of cheap natural gas produced from shale deposits? Joseph Schumpeter, an Austrian-born economist who emigrated to the United...
Did the value of the Canadian dollar rise or fall between Tuesday and Wednesday?
As vice president for community relations, you want to explore the possibility of developing service learning programs with several nearby colleges and universities. Using Figure 2.5, suggest the...
Your organization initiated a project to raise money for an important charity. Assume that there are 1,000 people in your organization. Also, assume that you have six months to raise as much money as...
A $20-\mathrm{cm}$-long rod, with uniform linear charge density $100 \mathrm{nC} / \mathrm{cm}$, is set up symmetrically on the $x$ axis. What are the magnitude and direction of the electric...
A researcher believes that alcohol intoxication at even half the legal limit, that is, .05 blood alcohol instead of .1, might severely impair driving ability. To test this, he subjects 10 volunteers...
A routine activity such as pumping gasoline can be related to many of the concepts studied in this text. Suppose that premium unleaded costs $3.75 per gal. Work Exercises in order. Use the...
Let $\bar{S}_{X}(\omega)$ be the PSD function for the stationary random process $X(t)$. Compute an expression for the PSD function of \[ Y(t)=X(t)-2 X(t-T) \]
Consider the network shown in the figure below, where $x(t)$ is a random voltage with zero mean and autocorrelation function $\mathfrak{R}_{x}(\tau)=1+\exp \{-a|t|\}$. Find the power spectrum...
(a) A random voltage $v(t)$ has an exponential distribution function $f_{V}(v)=a \exp \{-a v\}$, where $(a>0) ;(0 \leq v 0.5\}$.
Cash from Operating Activities: ______________ Cash from Investing Activities: ______________ Cash from Financing Activities: ______________ Problem 2: Financial Ratios The GAP Macys 1 Current Ratio...
On January 1, 2021, Winky Enterprises issued 12% bonds dated January 1, 2021, with a face amount of $2,800,000. The bonds mature in 2030 (10 years). For bonds of similar risk and maturity, the market...
Using the following accounts and balances, prepare the stockholders' equity vection of the balance sheet. Pilty thousand shares of common stock are authorised, and 1,000 shares have been recoured,...

Plot the specified output by using the RK4 method. (4 ddot{x}+3 dot{x}+2 x|x|=frac{1}{2}+sin t, quad x(0)=1, quad

Question:

Step by Step Answer:

To solve the given secondorder ordinary differen...View the full answer

Modeling And Analysis Of Dynamic Systems

Students also viewed these Computer science questions