4. Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. 2x' +y' - 3x - 6y = e - 2t x'+y' +7x+2y = et Eliminate y and solve the remaining differential equation for x. Choose the correct answer below. O A. x(t) = C, e ,6t + Cate 6t O B. x(t) = C, e 6t. + C2 e -6t OC. x(t) = C, cos (6t) + C2 sin (6t) O D. x(t) = C, e 6t cos (6t) + C2 e6l sin (6t) O E. The system is degenerate. Now find y(t) so that y(t) and the solution for x(t) found in the previous step are a general solution to the system of differential equations. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. y(t) = O B. The system is degenerate.

Q: 1. Evaluate and find the real part: 1 1+i

A:

Q: Find the Laplace transform of f(t) = t´ using direct integration. Show your solution. 1 s4 2 2 s4 1

A:

Q: You save 500 each month by depositing into an account earning 7% monthly. After 15 years you stop…

A:

Q: 4. Use the binomial theorem to expand the following expressions. a. (x + 2y)* b. (2x – 1)5

A: We can solve this using binomial theorem

Q: Use (5) in Section 8.4.

A: Given,         X'=0110X+sinhtcosh(t)

Q: и(-п-1)-(!)" и(-п u(-n u(-n

A:

Q: Is a function Continuous ?why? integrable anod

A:

Q: Consider the function f(x) = 8(x – 2)³. For this function there are two important intervals: (- 00,…

A:

Q: The count in a bacteria culture was 400 after 10 minutes and 1100 after 30 minutes. Assuming the…

A:

Q: Applications of Weighted Graphs (Aufmann) Route Planning: Brian needs to visit the pet store, the…

A: A path that starts at any vertex of the graph and visits every vertex of the graph exactly once is…

Q: Solve the following problems on bond papers (maximum 3 bond papers) with ½ inch margin on all sides.…

A: According to rule of bartleby we can solve only 1st problem and if your require another one kindly…

Q: f(t) = te¯3t cos² 2t -3t cos 2t

A:

Q: B. Find the indicated powers of the given complex number. Express the result in polar form, then…

A:

Q: L1 {; l?s²+n²n2};L and n are constants

A:

Q: Using Euler's Method, approximate the initial value problem for various values of x given in the…

A:

Q: .Use the De Moivre's Formula to show that if z = (cose + isine), then z" + ; ÷= 2cos (n8) and (금) 3…

A:

Q: (d) Suppose A is a 2 × 2 matrix such that for all x, y E R?, (Ax) · (Ay) = x · y Must it be true…

A: This is the problem of linear transformation.

Q: Consider surface S of the cone S : z = 2/a2+ y² at the point P(1, , V5). (a) Determine the vector…

A:

Q: [MO52] Solve the following PDE: azu a?u at2

A:

Q: y'- 4y + 2x = 0, x = 2 and x-axis

A:

Q: Are the following statements logically equivalent? Justify your answer.  a. A real number is less…

A: Solution

Q: Find a real root using bracketing method of the polynomial function f (x) = 3x³ + 8x? – 9x – 13.…

A:

Q: .If flx) g(x) dt, where gloy =J"CI tsinct)jdt, find f'6 VItto %3D 2

A:

Q: 2. Solve for z. Assume no full rotation. 23 = 2 + 2i O z = e% O z = V2e'i O z = 2ei O z = 4e*i

A:

Q: Let G(r, s) be the graph with vertex set V= {(a,b) e Zx Z|1<a<r,1<b<s} and edge set = {(a,b), (c,…

A: Given G(r, s) is a graph with vertex set V={(a, b) ∈ℤ×ℤ| 1≤a≤r, 1≤b≤s} and edge set E={{(a, b), (c,…

Q: A baseball team plays in he stadium that holds 56000 spectators. With the ticket price at $12 the…

A:

Q: The point P (5, -1) is rotated 90° clockwise around the origin. What are the coordinates of the…

A: We want to rotate the point P(5, -1) about origin 90 degree clockwise direction.

Q: ? Question Draw two lines together in one 3D model. One line should start at (0, 2, 0) and move in…

A: Solution:-

Q: Consider the following differential equation: (2x + 3)?y"(x) – 3(2x + 3)y'(x) + 4y(x) = 8 ln(2x + 3)…

A:

Q: Obtain the general solution to the equation. dx y + 6x = 2y dy

A:

Q: Evaluate (x+y² + z?) dS, where S is the porti on of the paraboloid x=5+y² + =? contained within the…

A:

Q: Obtain the forward, backward, and central differences for du/dx for the function u(x, y) = %ye" x =…

A: Given, u(x,y) = 12yex  x= 0.50, y = 1 at h = 0.02 and h = 0.002 We have to obtain the forward,…

Q: If 2100 square centimeters of material is available to make a box with a square base and an open…

A:

Q: Use a graphing calculator to determine the linear, quadratic, or exponential equation that best…

A: For Linear equation  y = ax + b Here a = slope and b = Y-intercept  By graphing calculator  a =…

Q: X Find the Maclaurin series for the function f(x) = dt. How many terms of the series are needed to…

A:

Q: Match the pairs of strings of English letters on the left with the equivalence relation on the right…

A:

Q: By using variation of parameters, what is a possible value for u' for the differential equation y' +…

A:

Q: Find the minimum and maximum values of the given objective function, subject to the indicated…

A:

Q: What is the VALUE of A2B2C216 in Octal System?

A:

Q: Find the real part of the length of the vector v° = (5 + i, –3 – i)

A: Use the given vector.

Q: Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding…

A: To find The characteristic equtaion and eigen values and corresponding eigen spaces.

Q: You save 500 each month by depositing into an account earning 7% monthly. After 15 years you stop…

A:

Q: 1. The figure below is a piecewise continuous function of sine and square wave. Find f(t)…

A:

Q: Decomposition Solve the system of three simultaneous linear equations by using Crout LU Method. 3x…

A:

Q: Given: s (s + 3) / (s^2 + 4)(s^2 + 6s + 10) . Express the inverse transform as an integral.

A:

Q: 10. Show that 1/x, x are linearly independent on (0, 0).

A:

Q: 1 1 2n Σ (x – 3)2n-1 (х — 3) (х — 3)2я (x – 3) х — 3 n=| Σ Using the Fact : x" = , we get.. n=0 Σ…

A:

Q: a.Lfind the equation of the sphere that has a center at (2,1,4) and a point on the sphere at…

A: We have to find the radius of Circle form by intersection of plane and sphere

Q: Preview Activity 1.5.1. One of the longest stretches of straight (and flat) road in North America…

A: In a distance-time graph, the slope of the line is equal to the speed of the object. Straight lines…

Q: 2ea

A: