In Problems 1 and 2 verify that the indicated pair of functions is a solution of the
Question:
In Problems 1 and 2 verify that the indicated pair of functions is a solution of the given system of differential equations on the interval (-∞, ∞).
1.
2.
Transcribed Image Text:
dx = x + 3y dt dy 5x + 3y, dt x = e-2 + 3e6, –21 y = -e-2 + Se6r d?x = 4y + e' dt? d²y = 4x – e'; dt? x = cos 2t + sin 2t + e', y = -cos 21 – sin 21 –e ||
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 87% (8 reviews)
dxdt x 3y dydt 5x 3y x e2t 3e 6t y e 2t 5e 6t take the derivative of x x e 2t 3e 6t dx dt d dt e 2t ...View the full answer
Answered By
Vishal parmar
well, I love mathematics since primary school.
0.00
0 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
-
In Problems 1 and 2, find du. 1. u = 2x5 +9 2. u = 3x4 - 4x3
-
Verify that the indicated function is an explicit solution of the given differential equation. Give an interval of definition I for each solution. 1. y'' + y = 2 cos x 2 sin x; y = x sin x + x cos x...
-
Verify that the indicated family of functions is a solution of the given differential equation. Assume an appropriate interval I of definition for each solution 1. 2. 3. 4. dP dt Cje 1 + cje = P(1 ...
-
First United Bank Inc. is evaluating three capital investment projects by using the net present value method. Relevant data related to the projects are summarized as follows: Instructions 1. Assuming...
-
You have worked as a real estate agent for 10 years and are earning about $100,000 per year with your current agency. You prepared the following information to use in evaluating the financial...
-
Why is working capital management key to managing cash in a business?
-
Event E: rolling a prime number
-
Based on the DDB data in Table 5A, which heavier-user categories have the greatest differences across the ethnic subcultures? Why is this the case?
-
Doris Chemicals Pty Ltd manufactures a product called JonBel. Direct materials are added at the beginning of the process and conversion activity occurs uniformly throughout the process. The following...
-
Find the Norton equivalent with respect to terminals a-b in the circuit shown in Fig. 4.104 . 30 V 20 k2 +) : 10 k 6 k2 6 mA ob
-
In Problems 31 and 32 find values of m so that the function y = x m is a solution of the given differential equation. 1. xy'' + 2y' = 0 2. x 2 y'' - 7xy' + 15y = 0
-
Make up a differential equation that does not possess any real solutions.
-
a. Explain why the alkyl halide shown here reacts much more rapidly than do primary alkyl halides, such as butyl chloride and pentyl chloride, with guanine residues. b. The alkyl halide can react...
-
Ted sold his Microsoft stock for $40,000 paying a commission of $800. He purchased the stock in 2004 for $8,000 and paid commission of $200. What is the recognized gain on the sale?
-
Liquid water at 80C and at 1atm flows through a heated pipe at a flow rate of 3.1 kg/s. It then leaves the pipe as steam. The water receives 9753840 J of heating from the pipe. Calculate the...
-
The balance sheet of River Electronics Corporation as of December 31, 2023, included 14.00% bonds having a face amount of $90.7 million. The bonds had been issued in 2016 and had a remaining discount...
-
The term mutually exclusive means that two events have no common elements in them. The occurrence of one event means that the other other event does not occur. An example of a mutually exclusive...
-
9a A conical pendulum is made by hanging a mass of 5.0 kg from a large spring of length 1.0 m and spring constant k = 100 N/m. The spring moves in a circle at an angle of 25 deg. When at rest hanging...
-
Air ( = 1.4) expands at a constant pressure of 300 kPa from a volume of 0.1 m 3 to 0.4 m 3 . What is the work done by the air? a. 9 kJ, b. 30 kJ, c. 90 kJ, d. 120 kJ.
-
Accounting policies and practices that are most important to the portrayal of the companys financial condition and results, and require managements most difficult, subjective, or complex judgments...
-
Solve the given differential equation by undetermined coefficients. y'' - 2y' + 5y = e x sin x
-
Solve the given differential equation by undetermined coefficients. y'' + y' + y = e x (sin 3x - cos 3x)
-
Solve the given differential equation by undetermined coefficients. y'' + 25y = 20 sin 5x
-
Summarize in your own words Sharps, Treynors, and Jensens Measures for assessing portfolio performance with respect to risk. Assess the portfolio performance of mutual fund VDIGX taking into...
-
Question 1 Slat and Company have recently set up a business which will manufacture and sell a furniture component, the F12 On the 19 August 2021, the company issued 85,000 of share capital for cash....
-
The following is Addison Corporations contribution format income statements for last month. The company has no beginning or ending inventories. A total of 10,000 units were produced and sold last...
Study smarter with the SolutionInn App