(a) Prove that the solution to the linear integral equation solves the linear initial value problem du/dt...
Question:
solves the linear initial value problem
du/dt = k(t) u(t),u(0) = a.
(b) Use part (a) to solve the following integral equations
Transcribed Image Text:
11(1)=a+ | k(s) u(s) ds s)dS, (ii) 11(1) 1+2 su(s)ds, (İİİ) u(r)=3+ es 11(s)ds.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (13 reviews)
a Since a is constant by the ...View the full answer
Answered By
Pranav Makode
I am a bachelor students studying at professor ram meghe institute of technology and research. I have a great experience of being an expert. I have worked as an expert at helloexperts and solvelancer as a part time job. I have also worked as a doubt solver at ICAD SCHOOL OF LEARNING, which is in Amravati city. I have also worked as an Freelancer.
I have great experience of helping students, as described above. I can help any students in a most simple and understandable way. I will not give you have any chance for complaint. You will be greatfull to accept me as an expert.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
Prove that the solution to the mixed boundary value problem is the unique C2 function that minimizes the modified energy functional when subject to the inhomogeneous boundary conditions. Hint: Mimic...
-
(a) Show that the nonsingular system ax + by = p, ex -I- dy = q has the solution given by the determinantal ratios Where (b) Use Cramer's Rule (1.87) to solve the systems (i) x + 3y=13. 4x + 2y = 0...
-
The solution by Cramers rule to the linear system a 11 x 1 + a 12 x 2 + a 13 x 3 = b 1 , a 21 x 1 + a 22 x 2 + a 23 x 3 = b 2 , a 31 x 1 + a 32 x 2 + a 33 x 3 = b 3 , has And a. Find the solution to...
-
A trainee in a medical lab will be released to work on her own when her results agree with those of an experienced worker at the 95% confidence level. Results for a blood urea nitrogen analysis are...
-
Suppose that Gladys Piper had told Clara Kaufmann that she was giving the rings to Clara but wished to keep them in her possession for a few more days. Would this have affected the courts decision in...
-
On July 1, 2013, the Southwest Forging Corporation arranged for a line of credit with the First National Bank of Dallas. The terms of the agreement call for a $ 100,000 maximum loan with interest set...
-
If the 60-mm diameter shaft is subjected to an axial force of 5 kN, determine the average shear stress developed in the shear plane where the collar A and shaft are connected. 5 kN 60 mm 100 mm 2.5...
-
The Professional Judgment in Context feature "Evidence-Related Findings in PCAOB Inspection Reports" presented at the beginning of the chapter provides excerpts of various PCAOB inspection reports...
-
The operating revenues and expenses of Panawin Enterprises for 2 0 2 1 are below:There are four additional transactions that impact the income statement: Machinery with a balance sheet ( book ) value...
-
Green Lawn Chemical Company sells lawn and garden chemicals through several hundred garden supply stores and department store garden shops. It was Green Lawn's policy to ship goods to these retailers...
-
Solve the following boundary value problems by using superposition: (a) u" + 9u = x, u(0) = 1, u'() = 0 (b) u" - 8u + 16u = e4x, u(0) = 1, u(1) = 0 (c) u" + 4u = sin 3x, u'(0) = 0, u(2) = 3 (d) u" -...
-
Reduction of Order: Suppose you know one solution u1(x) to the second order homogeneous differential equation u" + a(x)u + b(x)u = 0. (a) Show that if u(x) = v(x) u1(x) is any other solution, then...
-
Consider the following data. (a) Test for normality and comment whether a parametric or nonparametric test is appropriate. (b) Try a suitable transformation (filter) to make the transformed data...
-
The Project Information dialog allows you to enter data about the project, some of which is automatically added to sheet titleblocks. A) True B) False
-
The light fixtures automatically turn to align with the ceiling grid. A) True B) False
-
Fill in the blank field in this text: If the text appears to be excessively large in a section view, the views [1]_________________________ is probably set incorrectly.
-
It is not possible to create new text styles. A) True B) False
-
With the Move tool, lines completely within the selection window are actually only moved, not stretched. A) True B) False
-
a. List two advantages and two disadvantages of each business form. b. What disadvantage do a sole proprietorship and partnership share?
-
Cornell and Roberts are partners who agree to admit Stanley to their partnership. Cornell has a capital balance of $80,000 and Roberts has a capital balance of $120,000. Cornell and Roberts share net...
-
You are given two urns and fifty balls. Half of the balls are white and half are black. You are asked to distribute the balls in the urns with no restriction placed on the number of either type in an...
-
(Johnsonbough8) A coin with probability p for heads is tossed n times. Let E be the event a head is obtained on the first toss and Fk the event exactly k heads are obtained. For which pairs (n, k)...
-
In London, half of the days have some rain. The weather forecaster is correct 2/3 of the time, i.e., the probability that it rains, given that she has predicted rain, and the probability that it does...
-
If you weigh your portfolio in 80% risky and 20% risk-free t bills. The optimal risky portfolio consists of 40% in bonds and 60% in ETFs. How much will you have invested in t-bills, bonds, and etfs?
-
b. A 25-year mortgage loan of $184,000 at a 10 percent compound annual interest rate with equal installment payments at the end of each year.
-
What are Cloud-based Services? How does this differ to the common virtualization model?
Study smarter with the SolutionInn App