Solve the following non-homogeneous second order differential equation, by the method of variation of parameters d²y dx² 1 4 dy dx + 4y = (x + 1)e²x

Q: The graphs show that the three components of love, namely passion, intimacy, and commitment,…

A: The above is the given graph.

Q: (a) Determine the eigenvalues in terms of a. (b) Find the critical value or values of a where the…

A:

Q: A potable water network will connect a central supply located on the bank of a 500-meter river width…

A:

Q: √2-1₁² √4-x²-1,² ITI S y=0x=y=z=√x² + y² arctan() dzdxdy ||

A:

Q: what is the tallest truck that can pas

A: Given , Height= 15 feet, Width- 40 feet, Truck width= 12 feet.

Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

A:

Q: Set-up and evaluate the triple integral for the mass of the box 1≤x≤2, 1≤ y ≤16, 0≤z≤ with density…

A: The given problem is to find the Mass of box with the given density function and box coordinates. We…

Q: 2. Does Picard's Theorem imply the following initial value problem has a unique solution? Explain y'…

A:

Q: Suppose we know that for a function f we have Vf(x, y) = (6x, 6). Find the directional derivative of…

A:

Q: Use the method for solving homogeneous equations to solve the following differential equation. 3(x²…

A:

Q: c) Solve the differential equation ydx = (ye" - 2x)dy.

A:

Q: (ii) Evaluate L-¹ {,2²9}. [2

A: Sol:- L-12s2+9 =L-123·3s2+32

Q: y-24-2x y

A: Given curves are y=0, y=4x, y=24−2x and y=x−4. We have to describe the region bounded by the given…

Q: 2. What is the radius of the circle defined by x + y 6x + 4y - 10

A: We will do this question by first, by completing the square of the equation, find the radius of the…

Q: Let g=yf(xy). Show that: - дд у ду дд - Х = g дх -

A:

Q: Solve the matrix equation for y. [1 2 -3] [12 31-² 2 6 3 12 x 0-1/1/20 O O There is no correct…

A:

Q: (a) (i) use the definition of C{-} to determine C{te"}. (ii) Evaluate C¹ {}.

A: According to the guidelines I am answering only first question with its parts. (i) Lte4t (using…

Q: 8. Find the singular value decomposition of the matrix below.Use Sage to find the eigenvalues and…

A:

Q: Determine the form of a particular solution Yp of Ур y" - 9y' + 14y = 3x² - 5 sin2x + 8xe6x. Do not…

A: Here given DE is  y"-9y'+14y=3x2 - 5sin(2x)+8xe6x. We find the form of particular solution yp.

Q: If the common difference of an Arithmetic series is 6 and the 4th term is 10, what is the value of…

A: Sol

Q: dx + 2x dy = 2x³y² dy

A: given differential equation dx+2xdyy=2x2y2dy which can be written as  dxdy+2x1y=2x2y2

Q: 3x³ +6x² +17x-5 x²+2x+5 3.). type of factor. dx; Solve by using partial fraction. Indicate the…

A:

Q: Evaluate F dV where F = 3i+z j+2yk and V V is region bounded by planes z = 0, z = 3 2 and surface x²…

A: here we can use that the volume integral over vector form is simply integral in different direction.

Q: 5. Find the equation of the hyperbola with vertices at (3,-3) and (-13,-3), and passes through the…

A: The equation of a hyperbola is of the form  x-h2a2-y-k2b2=1 where h,k is the centre of hyperbola.…

Q: 15. Find algorithms for getting the third and fourth roots of N that are similar to that in Exercise…

A:

Q: Then use the table to fill in the apparent value of the following limit. 7(5-x) lim x-5 25-x² Round…

A: limx→575-x25-x2 we have to find the limit value using approximation

Q: Compute the following sums. 'n-1 a. Σ = Σ=6(8i + 4j) η b. Σ 14+2 j=1 c. Σ=12=14 -2 {n-1

A: We know that ,  A series is defined as the sum of the elements of a sequence. Generally series is of…

Q: B/ Put the following program in matrix standard form Min (z) = 10x₁+11x2 S.T. X₁+2x₂ ≤ 150 3x₁+4x₁ ≤…

A: Given  Min z=10x1+11x2S.T.x1+2x2≤1503x1+4x2≤20036x1+x2≤175x1, x2≥0 which can be written as Min…

Q: The point P(12, -5) lies on the terminal side of a trigonometric angle....Determine the exact value…

A: Here given that P(12,-5) The terminal side of the trigonometric angle  It is clear from the…

Q: CK Show whye* dx does or does not converge.

A:

Q: Use context clues to determine whether the figure can be shown to be a parallelogram. Explain your…

A: From the above figure we have,

Q: both Eri Evaluate This cubic polynomial Pors=1-32 using rounding and chopping to three digits at…

A:

Q: E (TL) ARP2 ARP3 ARP1 ARP2 ARP3 ARP4 Notes: • You are allowed to use your triangles to produce…

A: Given that: UP¯ and ES¯ onto ARP1,ARP2,ARP3 and ARP4 given the true length of ES¯, UP=22ES and UP¯…

Q: Find the determinant of the 3 by 3 matrix below: 4 -2 -2 4 2 -1 1 413 Select one: O a. 8 O b. 60 O…

A:

Q: 10- Find a and b in y-a.cos bx using the nonlinear least square method to fit the following data (bx…

A: Given that: x 0.1 0.3 0.5 0.7 0.9 y 0.68689 0.60040 0.43513 0.21407 -0.03443 The objective…

Q: Sketch the space curve represented by the vector-valued function and give the orientation of the…

A: given that vector r(t) =t , t2 ,23t3

Q: General Solutions and Phase Portraits. In each of Problems 1 through 6, find the general solution of…

A:

Q: 9 h(q) 1 1.5 2 2.5 233 667 1906 82 3 5446 Estimate h' (2) using the table above. Use points on…

A:

Q: For which k is the residual term when q (x) = x17 -kx15 + (k-2)x10 + 2x + k2-2 is divided by x-1…

A:

Q: The exponential function N= 3.93 x 1.340 gives the approximate U.S. population, in millions, d…

A:

Q: The following graph shows the average American household debt h as a function of the date d. 140 120…

A: (a) We are given that h(d) represents household debt as a percentage of disposable income. So,…

Q: - Develop the Maclaurin series for cos (2x) eep to terms in X4 what is the greatest truncation error…

A:

Q: Translate into symbols. Use E(x) for “x is even” and O(x) for “x is odd.” a. No number is both even…

A: Solution: Given, Suppose x is any number then E(x) represents x is even and O(x) represents x is…

Q: 5. Let M:= {ECR: E is countable or E is countable} and define μ: M→ [0, ∞] by μ(E) := Show that is a…

A: Given M:=E⊆ℝ: E is countable or Ec is countable and μ:M→0,∞ defined by  μE:=0if E is countable1if Ec…

Q: Question: ym(t) — 10yn(t) + 9y/(t) — 90y sec(3t)

A:

Q: The table shows how 10 students were ranked according to their achievements in both the laboratory…

A:

Q: Your answer is wrong plz give me exact answer plz

A: Given as, Fs=1.1s+0.054s2 fts1 =55,s2 =90,∆s=1

Q: The Fourier transform of a signal x(t) is X(w). Find the Fourier transform of x(-(1-2t)).

A:

Q: 3.5 m 25 N 1.5 1 0.5 0 -0.5 -1.5 -2 -2.5 -3 -3.5 -4 45 5 个 个 千 11 ↑ ↑ ↑ ↑ ↑ 1 1 11 1 7 V 1 11 11 A >…

A: given direction field we have to find corresponding differential equation.

Q: 1) let (X, T) be a topological space and A, BEX. In this case, show the following a) = 0 а) бала " a…

A: Given that X, τ is a topological space and A, B⊂X . To show: (a) if A is open , then ∂A∩A =ϕ…