Let y1(x) and y2(x) be solutions of the linear differential equation with constant coefficients y'+3y'+by = 0 such that the Wronskian W (yı, y2) = 19enx, then it is possible that: a) Y1 (x) = e¯1l# y y2(x) = xe®r |3| b) ул (х) — е 2г У 92 (х) — е16г = e c) y1 (x) = e¯ -11x y y2(x) = e%z d) y1 (x) = el# y y2(x) = e%z 11x

Q: 5s+3 6s 8 F(s) - (5s2+4s+1) s2+7 9.

A: The laplace transform formulas for e^(at)cos(bt) and e^(at)sin(bt) will be used in solving this…

Q: Consider the following. -10 36 A = P = -1 -3 11 (a) Verify that A is diagonalizable by computing…

A:

Q: 1 N. 3 n + 2 (a) Find the smallest positive integer N such that Зп — 4 n2 (b) Determine whether the…

A: To find: Smallest positive integer N such that n+23n-4-13<0.01. for all n≥N. As per policy, we…

Q: acebook; 22 use all three apps. Find how many students use: (a) only Instagram

A:

Q: Question 1 (Second Order Linear ODES). /" - 6y' +9y 0 y(0) = 2 / (0) = 3. %3D

A: Given second order differential equation is y''-6y'+9y=0     (1) with condition y(0)=2,y'(0)=3…

Q: xy? x2 + y? and f (0,0) = 0, then which of the following is correct? (2) Let f: R2 –→ R be defined…

A:

Q: Derive its dual problem parumeter min E Ix;IP st. ehere x= (XいP ER ,A ERMP, AERY be

A:

Q: The standard running track size for track and field events is 400 m. The track consists of two…

A: Given that: Size of the track = 400 m Area enclosed = 9430 m2

Q: (3) If resistors of R1, R2 and R3 ohms are comnected in parallel to make an R-ohm resistor, the…

A: Partial differentiation.

Q: An open tank has the shape of a right circular cone (see figure). The tank is 8 meters across the…

A:

Q: A flower pot has a vertical front view as in Figure 6. The outer surface is to be painted. 5 cm 7 cm…

A:

Q: 6. Interval, - TT <x < TT; function, f(x) = 0, = x2 - TT<x<T 0 <x< TT

A:

Q: The average remaining lifetimes for men of various ages in a certain country are given in the…

A: Given, The average remaining lifetimes for men of various ages in a certain country is: Age Years…

Q: Find the Fourier series expansion for the following function. (1 0stsn f(t) 12 nst< 2T

A: Fourier series on [0 2pi]

Q: For each of the following series determine if the series converges or diverges. In(n) n n=2 n3 n=0…

A: Series and sequences, integral test

Q: Which line passing through G is parallel to line IEC? C 34 H O CGJ BGH O AIG O EFG O OOO

A: To find the line which passes through G and parallel to the line IEC .

Q: a) Use the Taylor theorem for function U(x, t) with the step size(-Ax) (t, is held cons. b) Consider…

A:

Q: The table and scatter plot show the number of years of experience, x, and the hourly pay rate, y,…

A: The equation of the line of best fit is  y=0.9x+8.22

Q: Find a Maclaurin series expansion for f(x) = e- 2x

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Question 12 Express the area of the given surface as an iterated double integral, and then find the…

A:

Q: Find the inverse transform of the given functions: 4s2 -4s+1 1. F(s) = (s3-4s2 +s+6)(s²+5) 3s-6 5s…

A:

Q: Let a, b e R with a < b. Assume that a + !<b -! for all n e N. Show that a+ -,b – = (a, b). n n=1

A:

Q: d²y dy + 2b +y = 0 dx dx2

A:

Q: Verify F(1,1; 2; x) = -x¯ln(1 – x) By expanding each function in a power series about x = 0.

A:

Q: Name: Section: i+ (4t - 3)k E = sint i tcost K 3. %3D

A:

Q: Solve the differential equation d?y dy 3+2y -t = 0 dt2 dt subject to the initial conditions that…

A: The second-order differential equation given is as follows: d2ydt2-3dydt+2y-t=0 The initial…

Q: Find Fourier series [o, 2] an O f cx) %3D SinX

A:

Q: a. Let U = { a, b, c, d, e, f, g} X= {a, c, e, g} , Y= { a, b, c }, and Z = {b, c , d, e, f} a1.…

A:

Q: If cot 0 = 2, cos 0 < 0, find the exact value of each of the following. (a) sin (20) (b) cos (20)…

A:

Q: Express the iterated integral as an equivalent integral with the order of integration reversed. 20…

A:

Q: Find the curvature and the radius of curvature at the point t = 0. e* cos(t), y= e' sin(t), z=7e' K…

A:

Q: Exercise 5.3.2. Compute the order of each of the following elements in their respective groups. (1)…

A: Using the definition of the various groups given in the question we solve this problem. The detailed…

Q: Find the inverse transform of the given functions: 1. F(s) = 352+5s+5 (s3+8s2+19s+12)(s³) 5s+3 6s 2.…

A:

Q: 8. Let (X, d) be a metric space, and A, B are subset of X, then (i) Fr(A) = AO (A)° = A - int A (ii)…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 5. Evaluate determinant D by: c. Chios Method 6 4 12 16 6 8 8 14 14 4 A = 4 6 16 12 2 2 10 18 10 14…

A:

Q: Use (1) X = eAtc (1) to find the general solution of the given system. 1 1 1 X' = 1 X -2 -2 -2 X(t)…

A:

Q: Solve the following equation correct to 5 significant figures using Newton's Method. 4.r - sin(r?) +…

A: We Know that  The Newton-Raphson method (also known as Newton's method) is a way to quickly find a…

Q: (1+4x² )y"-8y = 0

A:

Q: Evaluate using Laplace Transform: (sin t 2 ) at f(t) = et 0.

A:

Q: For each of the following series determine if the series converges or diverges. 00 In(n) n n=2 n3…

A:

Q: 3 b.

A:

Q: Which of the following statements is/are a restatement of Euclid's Fifth Postulate? 1. Through a…

A: Given information is I.  Through a point P not on a line l, there exists exactly one line parallel…

Q: Use the Babylonian's formula to calculate the area of a circle with diameter of 12 units. (roundoff…

A: In  Babylonian's table π = 3.125

Q: a. Draw an appropriate Venn diagram and use the given information to fill in the number of elements…

A:

Q: f (t) = e(-3t) sin(2t) cos(3t) cosh(t)

A:

Q: Find the inverse transform of the given functions: 7s-4 2. F(s) 3s + s2+3 4 -7 S 3 - - (s²+2s+10)

A: To solve given question first we rewrite the given function in standard form of inverse Laplace and…

Q: Evaluate using Laplace Transform: sin 2 f(t) = dt et

A:

Q: Refer to the following matrices. A =  [ -1 4           3 4           3  0 ]   B =     [ 2  3…

A:

Q: Find the centroid of the region bounded by y? = 16x and y? = 32(x – 8). - NOTE: Enter the exact…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Use (1) X = eAtc (1) to find the general solution of the given system. 1 1 1 X' = 1 X 2 -2 -2 | X(t)…

A: