Find the general solution of this ODE: d'y dy + 12 + 37y = - 6e-4t dt2 dt The solution will be of the form: y(t) Cy1(t) + Dy2(t) + Yp(t) = so use C and D as the arbitrary constants. y(t)

Q: ssint, 0<t < TI 0, t2 Tt , y(0) = 0 y'(0) = 0 5. Find the solution of the IVP y"+ y' +y : %3D

A:

Q: 12 4arctan () dx

A: This is a problem of Numerical Analysis.

Q: Assume P (AU B) = .73, P (A) = .51, and P (B) = .47. Find P (AN B (AnB)

A:

Q: [2 1 11 b) Find the inverse of the matrix L = 3 4 1 with the determinant of the matrix L = -2. [3 2…

A:

Q: Part I. Cartesian Product and Relation Give the Relation: 1. Find a relation R such that >l if A =…

A: 1) The Relation R such that x+y2&gt;1 is  R={(0,3),(1,2),(1,3),(2,1),(2,2),(2,3)} 2) the Relation R…

Q: Ikeoluwa collected data on whether 65 professional golfers have practiced for at least 10,000 hours…

A:

Q: Which of the following is the general solution to the differential equation (3s – 2t + 1)ds = -(3s –…

A:

Q: Question 17 Find the solution. (4D3 + 4D2 + D)y = 0 A y = c,x+ (e,+cz)e¯/½ B y = c e © y = c,+…

A:

Q: Match the graphs with their equations. Justify your answer. 1) z = sin(ry), 2) z = sin(x - y), 3) z…

A: We have to match the curves with their graphs. As per policy, we are solving the first three parts,…

Q: Decide if the statement is true or false. Assume that C#ø, U#Ø, and CCU. UCO

A: The sets C, D are non-empty sets. The set C is a subset of the set U. Therefore the set U contains…

Q: Solve the linear system below using Gauss Elimination and determine whether the Lolution is…

A:

Q: 1. Let n be a natural number with n > 1. (a) Suppose n is prime. Prove that if ab = 0 (mod n), then…

A: In 1)  (a) we need to prove that ab≡0 ( mod n), then a≡0 (mod n ) or b≡0 (mod n ).     In (b) We…

Q: What is the particular solution to the differential equation dx 1 + y = 2e-* with y = 1, dy -1 when…

A:

Q: dy = 0 ? What is the general solution to the differential equation y dx² dx

A:

Q: Find the solution. (D5 - 2D3 - 2D2- 3D - 2)y = 0. -3x y = (c,+c,x)e-*+c;e-+e*(c,cosx+c gsinxr) -2x A…

A: Given differential equation is (D5-2D3-2D2-3D-2)y = 0

Q: 4. Given the system dr -6x – y dt dy dt. 3x 2y (a) Find the general solution. (b) Find the solution…

A:

Q: 12. Start with the identities x2 1 P, (x) = xPn-1(x) + *P(x) n P, (x) = xP-1(x) + nP,-1(x ) (a) Show…

A:

Q: Consider the following IVP: y +y = -cos x; y(0) = a, y'(0) = b Find the general solution. A y(x) =…

A:

Q: Find the solution. dy y -xy? dx

A: This is a problem of differential equation.

Q: Show clear and detailed solutions • Determine and draw the graph of the following equation in R3 :…

A: We have to sketch the graph in R3.

Q: The table shows the total assets (in trillions) held in a foreign bank for the given years. Complete…

A:

Q: 2. Find the power series representation of the following functions. And then write out their I.O.C..…

A: we have to find the power series representation of following f(x).

Q: True or false 1. (peq) = -(p=-q)

A: Please post the multiple question separately. Here I answered 1st question as per our policy.

Q: 1 Consider the matrix (a) Find the eigenvalues of A. (b) Find two eigenvectors v and w of A with…

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

Q: Using the Divergence Theorem, evaluate I= F-dS where S is the sphere of radius 2 centered at the…

A:

Q: Find L10 of the function f(x) = 3* – cos (nx) on [– 3,2]. Explain the Summation Notation you will…

A: here we will find left Riemann sum  ∫abf(x)dx≈∑i=0n-1fxi*Δx    where  Δx=b-anand  xi*= a+i×Δx…

Q: Find the general solution of this ODE: d'y dy + 4- + 4y = - 7t + 5 dt? dt The solution will be of…

A: The solution is given as

Q: 5. Let z1 = a1 + b;i and z2 = az + bzi. (a) Find Im[z,Zz + (Z)? – 2,7 ]. (b) Prove that (z)² = z,² .

A: Rational Numbers: All the numbers which can be written in the form of pq. Here, p and q are integers…

Q: ind the Laplace Transform of f(t) = cos² 3t A F(s) = 2 s2+36 B F(s) = + s2+36 6 F (s) = + s²+36 2 s2…

A:

Q: 1. In at most two sentences, address the following: • Give at least two postulates of Euclidean…

A: Postulate 1 A straight line segment can be drawn joining any two points.Postulate 2 Any straight…

Q: Calculate the curvature and radius of curvature of the graph of the function y = xe

A:

Q: a) Find the distance between m = [-2,3, 2,0,3, – 13, –5] and n [4, –1,1, -5,0, 11, -3].

A:

Q: Consider the following IVP: y' +y = e2t ; y(0) = 0 Find the general solution. 1 -211 A у () 3 21 B)…

A:

Q: (2n )! | [P, (x)]° dx | (1-x?)" dx %3D 22" (n!)2 -1

A: Solution

Q: What is the general solution to the differential equation (tan x)dy – (4y In y – y tan³x)sec²x dx =…

A: We will convert given differential equation into linear differential equation by appropriate…

Q: Find the solution. (D* + 1802 + 81)y = 0 Ay = (c, + c,)cosår + (cz+c,)sin3r. ® y = (c, + cx)cos3r +…

A:

Q: Solve the system of inear equations, using the Gauss-Jordan eliination method. (Ir there is no…

A: We have to solve the given system.

Q: rative of the f he unit vecto p, then Ja + B|

A:

Q: Using Bisection method find the solution of h (x): = xcos2x +1 = (x - 2)2. Use as initial values and…

A: given method hx=xcos2x+1=x-22 use as initial values π2 and 5π6. stop iteration if the error is less…

Q: Use variation of parameters to solve the given nonhomogeneous system. X' X - -7t e X(t)

A:

Q: Solve 2y" + (x + 1)y' + 3y = 0 by means of a power series about xo = 2. Find the recurrence…

A:

Q: 2s +3 Find the Inverse Laplace Transform of (s+4)3 A e²(2cox21+ – sin21) B e-(cos21+ -sin21)…

A:

Q: 34. (a) Find a parametric representation for the torus obtained by rotating about the z-axis the…

A:

Q: What is the general solution to the differential equation (3 tan x – 2 cos y) sec?x dx + tan x sin y…

A:

Q: Using MOSA find the polynomlals that will approxlmate the solution to: y'= x2 + y; y(1)-1. y1(x). A…

A: y'=x2+y;    y(1)=1 f(x,y)=x2+y;    y0=1

Q: The object shown in the figure is axially symmetric and its curved surface is described in…

A:

Q: Determine if the vectors are linearly independent Justify your answer. 6. 12 - 36 The vector…

A: The given vectors are                                     700,    8   3-6,    9  12-36 We have to…

Q: 17. What is the general solution of the differential equation (y² + 9)dx + (3x – 2xry)dy = 0? 2y A)…

A: We have to find the general solution of the differential equation y2+9dx+(3x-2xy)dy=0.

Q: 2/3x1 - 1/4x2 + 5/8x3 = 0   1/5x1 + 2/3x2 - 1/4x3 = -7   -3/5x1 + 4/3x2 - 7/8x3 = -5

A: To solve the above system of equations we will write the given system in Matrix form then we will…

Q: 3s – 2 Find the Inverse Laplace Transform of G (s) 2s2 – 6s – 2

A: