Check the solution of the autonomous differential equation, making sure that it also matches the initial condition.
Question:
Check that x(t) = -1/2 + 3/2e2t is a solution of the differential equation dx/dt = 1 + 2x with initial condition x (0) = 1.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 72% (11 reviews)
First x 0 12 32e 0 1 s...View the full answer
Answered By
Anoop V
I have five years of experience in teaching and I have National Eligibility in teaching (UGC-NET) .
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Modeling the Dynamics of Life Calculus and Probability for Life Scientists
ISBN: 978-0840064189
3rd edition
Authors: Frederick R. Adler
Question Posted:
Students also viewed these Calculus questions
-
Check that the solution of the autonomous differential equation starting from the initial condition b(0) = 1 is b(t) = et-1. Find b(2) and sketch the solution. The above exercise compare the behavior...
-
Check that the solution of the autonomous differential equation starting from the initial condition b(1) = 1 is b(t) = et-1. Find b(2) and add to the sketch of the solution. The above exercise...
-
Consider the following time series: t 1 2 3 4 5 6 7 yt 120 110 100 96 94 92 88 A. Construct a time series plot. What type of pattern exists in the data? B. Use excel solver or lingo to find the...
-
To be more engaged in your community, think of any issues that the youth today are facing, then find books, or studies that will help you in supporting your topic. Write your own observation/s on the...
-
1. What are the benefits and costs of using a common currency for Greece, Germany, and the EU? 2. How do the austerity programs imposed by the bailouts help a Greek firm that exports olive oil? 3....
-
What C55x register holds arithmetic and bit manipulation flags?
-
Happy Company operates four departments kitchen, bathroom, office and laundry. When preparing a departmental statement of financial performance, the stores accountant allocates indirect expenses...
-
Bird-Bath, Inc., experienced four situations for its supplies. Compute the amounts that have been left blank for each situation. For situations 1 and 2, journalize the needed transaction. Consider...
-
2. In Figure 2, describe how the distortion of parts can occur after fusion welding. (20 point) Neutral axis Weld Fig. 2. Distortion of parts after welding.
-
Repeat Exercise 6.3 for memory storage of a 32-bit word stored at memory word 15 in a byte-addressable memory.? Data from problem 3 Consider memory storage of a 32-bit word stored at memory word 42...
-
Solve the pure-time differential equation starting from the initial condition p(1) = 1, find p(2), and add the curve to your graph. The above exercise compare the behavior of two similar-looking...
-
Check the solution of the autonomous differential equation, making sure that it also matches the initial condition. Check that b(t) = 10e 3t is a solution of the differential equation db/dt = 3b with...
-
Copacabana Bus Lines uses the units-of-activity method in depreciating its buses. One bus was purchased on January 1, 2011, at a cost of R$168,000. Over its 4-year useful life, the bus is expected to...
-
Repeat Exercise 12 to allow the user to repeat finding the Fibonacci number for an integer. Use input, message, and confirmation dialog boxes. Confirmation dialog boxes are discussed in Appendix A.6....
-
Describe the use of the keyword this.
-
The Capitool Company, with headquarters and main manufacturing plant in Racine, Wisconsin, in the United States, produces a line of capital equipment for use in a variety of industries, especially...
-
Write a program for a given word and string that will a. Check if the word is in the string. b. Count all occurrences of the word in the string. c. Remove all occurrences of the word from the string.
-
In Sect. 3.5 it was mentioned that a mathematical expression like \(0
-
Repeat Exercise 15, given that 80 units are produced daily and the rate of change of production is 12 units per day. Exercise 15 Given the revenue and cost functions R = 50x - 0.4x 2 and C = 5x + 15...
-
Perform the indicated operations. In designing a cam for a fire engine pump, the expression is used. Simplify this expression. (3) (3 4 32
-
Consider the dissolved oxygen data in Exercise 8-81. Water quality engineers are interested in knowing whether these data support a claim that mean dissolved oxygen concentration is 2.5 milligrams...
-
The mean pull-off force of an adhesive used in manufacturing a connector for an automotive engine application should be at least 75 pounds. This adhesive will be used unless there is strong evidence...
-
For Example 11.11, verify that the following matrix is the inverse of I − Q and hence is the fundamental matrix N. Find Nc and NR. Interpret the results. 8/3 1/6 4/3 2/3) 4/3 4/3 8/3 4/3 4/3...
-
How do cultural beliefs, values, and traditions contribute to the resilience of communities facing systemic challenges, and how can culturally sensitive approaches enhance resilience-building efforts...
-
KJSC , Inc. - Using the following information, create journal entries and t - accounts ON A SEPARATE PIECE OF PAPER. PLEASE NOTE - these facts will only be presented in this question. You will need...
-
Frankie has a very busy lunch counter. On Tuesday, they sold 190 meals and brought in revenue of $2,644. The vegetarian curry rice costs $7.00 and the Chicken Marsala costs $12.00. If the augmented...
Study smarter with the SolutionInn App