Given that y = sin x is an explicit solution of the first order differential equation dy/dt
Question:
Given that y = sin x is an explicit solution of the first order differential equation dy/dt = √ (1 – y2) Find an interval I of definition.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 76% (13 reviews)
We first note that 1 y 2 1 sin 2 x cos 2 x cos x This prompts us t...View the full answer
Answered By
Muhammad Umair
I have done job as Embedded System Engineer for just four months but after it i have decided to open my own lab and to work on projects that i can launch my own product in market. I work on different softwares like Proteus, Mikroc to program Embedded Systems. My basic work is on Embedded Systems. I have skills in Autocad, Proteus, C++, C programming and i love to share these skills to other to enhance my knowledge too.
3.50+
1+ Reviews
10+ Question Solved
Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
Question Posted:
Students also viewed these Mathematics questions
-
Chemical Reactions When certain kinds of chemicals are combined, the rate at which the new compound is formed is modeled by the autonomous differential equation dX/dt = k( - X)( - X), where k . 0 is...
-
(a) Find an implicit solution of the initial-value problem dy/dx = (y 2 - x 2 )/xy, y(1) = -2. (b) Find an explicit solution of the problem in part (a) and give the largest interval I over which the...
-
verify that the indicated function y = (x) is an explicit solution of the given first-orde differential equation. Proceed as in Example 2, by considering simply as a function, give its domain. Then...
-
Sam's Furniture uses variance analysis to evaluate manufacturing overhead in its' factory. The information for the June overhead expenditures is as follows: Budgeted output units 22,000...
-
Use the information for Suncor Energy Inc. in E13-1 to complete the following requirements. Refer to E13-1, The average price of a litre of gas in 2011 jumped $0.17 (16 percent) from $1.04 in 2010 to...
-
Keith Shoe Stores carries a basic black dress shoe for men that sells at an approximate constant rate of 500 pairs of shoes every three months. Keiths current buying policy is to order 500 pairs each...
-
Generalized Regression Techniques and Variable Selection In Chapter 9, we introduced generalized regression techniques as an approach to handling the multicollinearity problem. The LASSO can...
-
You have been assigned the task of evaluating two mutually exclusive projects with the following projected cash flows: If the appropriate discount rate on these projects is 10 percent, which would be...
-
4. An electron (C=1.610-19 C, m =9.11103 kg) is held at a distance of 4.5x10 m from o a fixed charged sphere particle. The electron is released and it accelerates away at 6.5x106 m/s. What is the...
-
Are the following statements true or false? Explain your reasoning. a. "If we see a standardized z-value beyond 63, the variable cannot be normally distributed." b. "If X and Y are two normally...
-
What function (or functions) do you know from calculus is such that its second derivative is itself? Its second derivative is the negative of itself? Write each answer in the form of a second-order...
-
Discuss why it makes intuitive sense to presume that the linear differential equation y'' + 2y' + 4y = 5 sin t has a solution of the form y = A sin t + B cos t, where A and B are constants. Then find...
-
On June 5, 2018, Brown, Inc., a calendar year taxpayer, receives cash of $750,000 from the county upon condemnation of its warehouse building (adjusted basis of $500,000 and fair market value of...
-
Read this case study and then respond with how you would handle this situation: Randy is a person who frequently offends others due to his honest and open expression. He oftentimes says things...
-
Electrical disturbances travel at the speed of light, and radio waves differ from visible light only in the frequency at which they oscillate. The speed of light is designated by "c", and is part of...
-
In the laboratory a student finds that it takes 83.9 Joules to increase the temperature of 13.5 grams of solid iron from 24.4 to 39.2 degrees Celsius. The specific heat of iron he has measured is...
-
A chunk of nickel weighing 19.0 grams and originally at 98.12 C is dropped into an insulated cup containing 83.6 grams of water at 21.62 C. Assuming that all of the heat is transferred to the water,...
-
What is the frequency of light with a wavelength of 756nm?
-
1. Suppose that your best friend is considering purchasing a franchise such as Cousins Maine Lobster. What advice would you give him or her about the right way to go about purchasing a franchise? 2....
-
The time to assemble the first unit on a production line is 10 hours. The learning rate is 0.94. Approximately how long will it take for the seventh unit to be assembled? The number of hours needed...
-
In problem use Theorem 7.1.1 to find [1]{f(t)}. f(t) = (t + 1) 3 Theorem 7.1.1 1 (a) L{1} = - n! n = 1, 2, 3, ... =-- s - a (b) L{t"} (c) L{e"} k (d) L{sin kt} (e) L{cos kt} 5? + k? s? + k? k (f)...
-
In problem use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. Theorem 7.2.1 (s + 2)(s + 4)
-
Use the unit step function to find an equation for each graph in terms of the function y = f (t), whose graph is given in Figure 7.R.1. y=f(t) to
-
Using two-way Set-Associative mapping method, design two-way mapping for cache memory from main memory. Explain why you need each condition and show all intermediate calculation procedures. You must...
-
18) Under the proration approach, the sum of the amounts shown in the subsidiary ledgers will not match the amounts shown in the general ledger because no adjustments from budgeted to actual...
-
Simpson Auto Body Repair purchased $20,000 of Machinery. The company paid $8,000 in cash at the time of the purchase and signed a promissory note for the remainder to be paid in four monthly...
Study smarter with the SolutionInn App