Find the general solution of the given system. dx = 3x y - z dt dy

Question:

Find the general solution of the given system.

dx = 3x – y - z dt dy = x + y - z dt dz = x - y + z dt

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

Step by Step Answer:

Related Book For book-img-for-question

A First Course in Differential Equations with Modeling Applications

ISBN: 978-1111827052

10th edition

Authors: Dennis G. Zill

See More Books

Question Posted: Nov 02, 2020 04:54 AM

See More Questions

Find the general solution to the linear system du/dt = Au for the following incomplete coefficient matrices: (a) (b) (c) (d) (e) (f) (g) (h) 3 2t) 9 -4 (1 3) 4 -5 2 425 013 110 1030 1100 0110 1001...
Find the general solution to the system (9.77) for the following matrix pairs: (a) (b) (c) (d) (e) (f) 3 -1 M=(0 3 0 4-2 - 3 2 M= K 2 -1 M= 1200 0 0 6/ -1 3 9 3 -I -1 3 K M= 1311, K= 282 0 1 1
Find the vector form of the general solution of the given linear system Ax = 1; then use that result to find the vector form of the general solution of Ax = 0 (a) x1 - 3x2 = 1 2x1 - 6x2 = 2 (b) x1 -...
A 4-ft-high, 3-ft-diameter cylindrical water tank whose top is open to the atmosphere is initially filled with water. Now the discharge plug near the bottom of the tank is pulled out, and a water jet...
Identify a successful good and a successful new service that were recently introduced in the marketplace. Also identify a failed new good and a failed new service that were recently introduced in the...
In one PCR cycle, the correct order of steps is a. primer annealing, primer extension, denaturation. b. primer annealing, denaturation, primer extension. c. denaturation, primer annealing, primer...
In 2016, Alta Motors was on the top of the world. The firms Redshift MX electric dirt motorcycle earned the #1 spot in the AMA EnduroCross racing series. The Redshift MX also took first place at the...
The ledger of G.K. Reid Company at the end of the current year shows Accounts Receivable $120,000, Sales Revenue $840,000, and Sales Returns and Allowances $30,000 Instructions a) If G.K Reid uses...
For a particular Java assembler interface, it is known that the operand stack size has the following probability distribution function: 0 1 2 3 4 . 2 5 . 2 0 . 1 8 . 1 7 . 2 0 What is the Expected...
The Adjusted Trial Balance columns of a 10-column work sheet for Webber Co. follow. Complete the work sheet by extending the account balances into the appropriate financial statement columns and by...
Verify that the vector X p is a particular solution of the given system. X' = 3 x-G x- () x.-()- -() |e'; X, =
Solve the given system. X' = %3D 1 2.
Mr. Alex Otto acquired an automobile on July 1, 2016, to be used in connection with his duties of employment. Alex is required by contract to use his own car and to pay directly all the expenses....
We have considered perfect hedging, and we have taken for granted that we know the size of the required hedge. Consider the case of a US firm that will need an amount of $N$ euro in six months. The...
What is the structure of the finance function in healthcare organizations?
Describe marginal analysis.
What role does regulation play in the healthcare sector?
Consider a firm that needs to purchase plastic for packaging the goods it produces. Arranging a forward contract on plastic may not be quite reasonable, but since plastic is made out of oil, the oil...
Gable Foods produces specialty soup sold in jars. The projected sales in dollars and jars for each quarter of the upcoming year are as follows: _______________________________________Total sales...
Is that Yelp review real or fake? The article A Framework for Fake Review Detection in Online Consumer Electronics Retailers (Information Processing and Management 2019: 12341244) tested five...
1. Use logistic regression methods to assess whether there is an association between ovarian cancer risk and duration of OC use while controlling for age. Provide a two-sided p-value. Assume that the...
What is the attributable risk (AR) of high BMI (¥25) for progression of AMD? Ophthalmology The data in Table 13.59 were presented relating body mass index (BMI) to progression of advanced...
Provide a 95% CI about this estimate? Ophthalmology The data in Table 13.59 were presented relating body mass index (BMI) to progression of advanced age-related macular degeneration (AMD), a common...
Many American car manufacturers are located in the Southeast. Due to hurricane season, the Southeast has gotten a significant amount of rain, causing vast flooding. How is the supply of cars impacted?
Suppose that the cost in dollars for a weekly production of x tons of sugar is given by the following function (a) Find the marginal cost. 1 C(x) = x+3x+200. (b) Find the cost and marginal cost when...
16. An IEEE standard 32-bit floating point number is N = -15 x 2E-127 x 1.F, where S is the sign bit, F is the fractional mantissa, and E the biased exponent. a. Convert the decimal number 123.5 into...

Find the general solution of the given system. dx = 3x y - z dt dy

Question:

dx = 3x – y - z dt dy = x + y - z dt dz = x - y + z dt

Step by Step Answer:

First we write the given system in matrix form Now we find e...View the full answer

A First Course in Differential Equations with Modeling Applications

Students also viewed these Mathematics questions