Question: Consider a BVP of u(x) as { u 2u' = f(x), 0 < x < 1 u(1) = b - u' (0) = a,

Consider a BVP of u(x) as { u" 2u' = f(x), 0

Consider a BVP of u(x) as { u" 2u' = f(x), 0 < x < 1 u(1) = b - u' (0) = a, %3| where a and b are two constants. (a) Find the associated Green's function for the above BVP. (b) Evaluate also the value of G'(0) G'(1). -

Step by Step Solution

★★★★★

3.47 Rating (150 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

C UP f ui as we have ginen B 2u fl2 ul0 9 U b where ai b are ConittantG do ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Each item below contains one mistake. Give the correct form in the space provided. (4 marks) Note: RE-WRITE the whole sentence with PUNCTUATION MARKS and CAPITALIZATION. 1. I am planning to visit the...

The Dirichlet Green function for the unbounded space between the planes at z = 0 and z = L allows discussion of a point charge or a distribution of charge between parallel conducting planes held at...

Function Space Dependence: Determine whether each subset S of C(R) in Problems 1-3 is or is not linearly independent? 1. S = {et, e-t} 2. S = {et, tet, t2et} 3. S = {sin t, sin 2t, sin 3t}

Consider the following data: P(X = x) 0.2 Step 3 of 5: Find the standard deviation. Round your answer to one decimal place. AnswerHow to enter your answer (opens in new window) 2 Points Prev

solve the questions with neat handwriting..... a) Let 2 = f (x. y) and 3/"): + yz+ z3 = 6x. Use the Implicit Function Theorem to evaluate a_z ax at (1.10). (5 marks) b) Find the critical points for...

2-3 If writing process is bothering you, it's ok to write only correct answer in each question. " Let (t) = (3t2 + 5) i + (4cost) j' Find / (t) dt. None of these O (t) + 5t + C1, 4sint + C2) Oth + 5t...

(f) Graph y = u(x), showing clearly any as O 15. [-/8 Points] DETAILS SPRECALC7 3.T.011. 0/1 Submissions Used MY NOTES Consider the following rational functions. " ( x ) = _2x - 1 s ( x ) = * + 8 ( (...

(1 point) Find the dimensions of a right circular cylinder that is open on the top, is closed on the bottom, holds 6 liters, and uses the least amount of material. Note: One liter corresponds to 1000...

Let f be the joint density of a pair (X, Y ) of random variables, and let a and b be two constants. Find the densities of (i) aX + bY . (ii) XY . (iii) X/Y . (iv) (U, V ), where U = aX + b, V = cY +...

C & M Securities made several expenditures during the current fiscal year, including the following: Required: a. For each of the items listed above, indicate whether the cost should be debited to...

At December 31, 2014, Ichor Ltd. has outstanding non-cancellable purchase commitments for 45,500 litres of raw material at S3.25 per litre. The material will be used in Ichor's manufacturing process,...

P7.15 Suppose that the dynamics of a transport vehicle can be represented by the loop transfer function Ge(s)G(s) = K(s2 +40s+800)(s+40) s(s2+100s+1000)(s2 +250s + 4500) Sketch the root locus for the...

What control were commonplace for schools in NYC before COVID. What controls will become standard after COVID. What controls will not be standard after COVID?

3. Prove the following vector identities: a. V(uv)= uVv + vVu b. V.(uA)= u(V.) + (Vu). c. V.(xB)= B.(Vx) - A.(VXB) d. V(UA)= u(Vx) - AX(Vu) where u(x,y,z), v(x.y.z) is a scalar field; A (x.y,z), B...

Q2. Design an amplifier that performs summing operation on the input signals with opposite signs. For example, consider four input signals, V1,V,V3, V4, where V, 25 and V, have signs opposite to that...

Q1. Design a non-inverting amplifier with a nominal gain of 10V/V designed using op-amp that saturates at +13V and -10V for input signal of 15V sinusoid. Repeat this for 3 V sinusoid.

What is true of oxidative phosphorylation? Question 11 options: a) It can occur only in the chloroplast. b) An free-floating enzyme helps transfer a phosphate group to ADP c) It is the formation of...

athway | Sign In or Sign.. Informative Speech Topics Question 2 of 7 - CH 03:.. 8. [-/10 Points] DETAILS 0/30 Submissions Used MY NOTES Consider the following function. U ( x ) = *z (a) Calculate the...

1. Consider a household utility U (X p, X0) = X%5X0'5, where X p is parent's home produc- tion and X0 is children's home production. Assume the wife spends hm hours at working, and the husband spends...

Please help me answer the following question Question 4. (30 marks) Consider maximizing utility where U (x, y) = a In rit B In r2 with the budget constraint piri + P212 - m. (a) Write down the...

(ii) Consider the following Boundary Value Problem (BVP): Find u H'(92) which satisfies u"(x) +u(x)=cos (x), for any XEN=[0, 1] u(x = 0) = 1 u'(x = 1) = -2.5708 Derive the continuous weak form...

1. [-/0.167 Points] DETAILS LARCALC11 11.4.003. Find the cross product of the unit vectors. j xi Sketch your result. 11 O O -17 O O Need Help? Read It Watch It2. [-/0.167 Points] DETAILS LARCALC11...

Problem 8: Given (X, Tx) and (Y, Ty) 2 topological spaces. Recall that the cartesian product X Y = {(x, y)|x e X, y E Y} 1. Consider the collection B of subsets of X x Y defined by A E B if and only...