Find two linearly independent solutions of the equation (x-1)y"+y=O for |x|<1

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Q: i) Obtain the complete and singular integrals of = px +qy + p°q. -31 ii) Find the Laplace transform ...

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Q: QUESTION 5 In a Pinochle deck, each of the four suits (hearts, diamonds, spades, and clubs) has two ...

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Q: (1) List the first 5 terms of oach of the soquence (a,). n+1 (d) an = sin An = 3n- - 1 3(-1)" (e) a ...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

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Q: x+x-5 (1) Find lim 1-2x-x

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Q: Let A E Mnxn(R), show that it is possible to express A as the product, A = PQ where P,Q E Mnxn(R), a...

A: Given: A matrix A∈Mn×nℝ   To show: A=PQ, where P,Q∈Mn×nℝ such that P is positive semi-definite and Q...

Q: 1. Consider problem min xí + x5 s.t. ai + x3 0. Verify that the KKT necessary and sufficient condit...

A: We are given a non-linear optimization problem. min x12+x22subject to,x12+x22≤5x1+2x2=4x1,x2≥0.........

Q: if võ zo, JT = 1 and Jū= 2 estimate Vo by constructing Logrange pelynemial, then with the exact valu...

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Q: Let A(r) f(t)dt where f is the function given by the graph below. /3 4+ 2 -2 -3 -4+ i. A(4) =

A: Introduction: The two point formula of straight line is widely used. When a straight line passes thr...

Q: T(n)=T(n-1)+n² for n>1, T(1)=1.

A: Since you have asked multiple questions so as per guidelines we will solve the first question for yo...

Q: For each of the following linear systems (a) Find the eigenvalues and their corresponding eigenvecto...

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Q: Sin 5

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Q: 2: Change the order of integration. •ln 4 f(u, у)dydx.

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Q: Question 10 Consider the separable differential equation -3ry=4y Fwe are soling tis and kave seaned ...

A: The given differential equation is ,         y' - 3x2y = 4y we will integrate the above differential...

Q: Submit test d's = 60 yt - 27 , subject to the conditions that Vi A particle moves on a coordinate li...

A: Solution:-

Q: Solve the system of linear equation (SLE) using Inverse Matrix Method. Indicate and label the Invers...

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Q: b. Let {a,} be a sequence of real numbers. We say that {a,}, decreases without bound, written lim an...

A: this is a problem of sequence.

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Q: Determine if the set of vectors is a basis of R®. If not, determine the dimension of the subspace sp...

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Q: Follow Up: Find the exact value of all 6 trig functions at the given angle. Rationalize all denomina...

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Q: Complet the following table : O D:5 1.5 1.75 2.71828 5.75460

A: The forward difference operator (∆), the backward difference operator (∇), the shift operator (E) ar...

Q: 2. Let the rref of a matrix A be, (1 0 2 0 -2 0 1 -5 0 -3 \0 0 0 1 6 Determine A if the first, secon...

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Q: 20 2 Compute det B* where B = 113 2 2 2

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Q: Find the Laplace transform of sin t cos t

A: Given f(t) = sin t cos t = 2sintcost2 = sin(2t)2

Q: QUESTION 16 In the TV program Star Trek, there's a rumor that crew members who wear a red shirt are ...

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Q: (i) Find the inverse laplace transform of the following a log (ii) Find Incverse Laplace Transform b...

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Q: 1. Evaluate the following integrals: dx V-x² + 4x – 3 f) . dx (x – 2)Vx² – 4x +3 -

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Q: 1. Vocabulary Describe the relative locations of the rational numbers -(-) and on a number line. Les...

A: Here,      -(-a/b) = a/b   [negation of negation is positive]

Q: Prove or disprove the following statement: Let A, B be two sets such that A ∩ B = Φ. Then P(A)- P(B)...

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Q: Find the Laplace transform of (t-2)2et-1u(t-2)

A: Using the properties of the Laplace transformation, it can be written that: Lut-cft=e-csLft+cLtneat=...

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Q: Find the singular value decompostion of the ma 1 - 1 1 - -1 1

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Q: 1. Use the Euler, improved Euler and Runge-kutta methods to solve the follo wing ODES: dy 9. 3 = x (...

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Q: let f:(a,b)→R be de fined by X€QN(a,b) x€Q' n(a,b) -2 f(x)=' 3

A: This is a problem of Differential Calculus.

Q: Question: Change the order of the following integral. Rewrite the integral by changing to cylindrica...

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Q: [3) is defined by f (x) = 15, Зх +4 and 5х-7 Show that if f:R- →R- 7x+4 8:R- is defined by g(x) = , ...

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Q: Find the Volume of the solid obtained by rotating the curve 1 for 1 < x < 4 1+ x2 around the line r ...

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Q: A circle of radius r has area A = r. If a random circle h

A: Given, a circle of radius r has the area A=πr2.  If a random circle has a radius that is uniformly d...

Q: Biologists stocked a lake with 250 fish and estimated the carrying capacity (maximum pop- ulation fo...

A: 1st we will find a differential equation for number of fish in the lake and then solve it to find ex...

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Q: (a) For each of the cost coefficients c;, 1 < j < 4, find the range of values for Ac, for which the ...

A: According to guidelines I can solve only 1 questions 

Q: If four points be taken on a rectangular hyperbola such that the chord joining any two is perpendicu...

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Q: 2. cos æ /1+ cos² x dx dy =? Jsin=' y -2/2 (a) 1 3 3 2/2 (b) 1 3 -2/2 1 (c) + 3 3 2/2 (d) 1 3 V2 (e)...

A: Properties of integartion  To determine ∫f(g(x))g'(x)dx Put t=g(x) the integral will be  ∫f(g(x))g'(...

Q: Use metaphor/layman's term to discuss Ridder's method for solving nonlinear equations

A: To discuss: The Ridder's method for solving nonlinear equations.  

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Q: sold obtained by rotating the region bounded by the given curves about the specified line. x = 25y. ...

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Q: Find the determinant by row reduction to echelon form. 1 5 -7 - 1 - 4 - 5 1 4 7 ... Use row operatio...

A: To determine the determinant of a matrix using row operation If the rows are interchanged then mult...