2t 2t y" + 5y' + 6y = 4te + 4e + 18t + 21 with initial values y(0) = -5 and y' (0) = 18. A. Write the characteristic equation for the associated homogeneous equation. (Use r for your variable.) ^2+5r+6=0 B. Write the fundamental solutions for the associated homogeneous equation. e^(-2*t) Y2 e^(-3*t) C. Write the form of the particular solution and its derivatives. (Use A, B, C, etc. for undetermined coefficients. Y Y' %3D Y" D. Write the general solution. (Use c1 and c2 for c and c2). y = E. Plug in the initial values and solve for c and c2 to find the solution to the initial value problem. y = 3e^(-2*t)-3e^(-3*t)+2t^2e^(-2*t)+3t+1

Q: I need help with what is not highlighted.

A: Given- Consider the two linear functions h: ℝ3 → P2 and g: P2 → M2×2 given as here.  abc ↦ a + bx2 +...

Q: A function f(t) with a period of 2*pi is 1 when t is from -pi to 0 and is -1 when t is from 0 to pi....

A:

Q: Find all the solutions of z° + 5z5 + 5²z4 + ... + 56 = 0

A:

Q: xy' + y = Vx %3D

A: Introduction: A first-order linear equation is of the shape y'+p(x)y=q(x). The integration issue of ...

Q: 3. Let A be a lower triangular matrix with elements a;j. Then a;j = 0 when O izj O isj O i>j Oi<j

A:

Q: Consider the curve C shown in the attached figure, which is the intersection between the surfaces S1...

A:

Q: A cup of hot liquid was left to cool in a room whose temperature was 10°C. The temperature (T°C) cha...

A: The given function is Tt=901/2t/20+10  

Q: 3: please answer A, B, C, D

A:

Q: matical expression for (fo h)(x). Do NO nts. Ex: 2^3 for 23 = Ex: x^5 - 13

A:

Q: Let f : R → R³ be defined by f(x) = (-9x, –2x, –5x). Is ƒ a linear transformation? a. f(x + y) = f(x...

A:

Q: Problem 4 O points possible (ungraded) Find all the solutions of 25 + 2z4 + 2² z³ + . ..+ 2° = 0 [2]...

A:

Q: Solve each equation for x. (If there is no solution, enter NO SOLUTION.) (a)     x + 8 ≡ 1, (mod 9)...

A: We solve each equation for x.

Q: right. Construct a stem-and-leaf display. For single digit data, use a stem of 0. 26 21 25 23 31 16 ...

A: In this question, concept of steam-and-leaf display is used. Steam and Leaf Display A graphical appr...

Q: 2. Let X = {a,b, c, d, e, ƒ} and S be the relation on X defined by S = {(a, a), (a, b), (a, c), (a, ...

A:

Q: 구 0-24 -3. 1247.7 1.25+22.5 2. 3.구 =IN

A: Let us consider the system of equation Ax=B where A is coefficient matrix , X is variable matrix and...

Q: (x² + xy – y²)dx + Gx? – 2xy) dy – 2xy)dy = 0 1 1 x3 +**y- xy? = C 1 x3 +x²y + xy² = C x²y Option 1 ...

A: A differential equation of the form Mdx+Ndy=0 is said to be an exact differential equation if ∂M∂y=∂...

Q: Evaluate p → (q→ r) = p → (q ^ r) O Equivalent O Maybe O Not equivalent O I don't know

A: let  us start writing the truth table and check whether they are equivalent or not....

Q: Suppose that {v1,.., Vp} is an orthonormal set in R", and that x E R". What can you say about the se...

A: (1) Given v1,v2,…,vp is an orthonormal set in ℝn. Let x∈ℝn. Consider the inner products x.v1,x.v2,…,...

Q: Let S be the surface obtained by revolving the plane curve 2x = /9 – y² about the y-axis.

A:

Q: Given: "if x, y, and z are integers and x + y + z is odd, then at least one of x, y, and z is odd", ...

A:

Q: Find a set of 3 points in S' so that dcos does not satisfy the triangle inequality.

A: The sine distance between two points x,y∈ℝ2 is defined as: dsinx,y=x.yxy and the cosine distance bet...

Q: 2. Let f : R →R be a differentiable function. Show that the function f', the derivative function of ...

A:

Q: Evaluate (p v q v ¬r) ^ (p v ¬q v ¬s) ^ (p v ¬r v ¬s) ^ (-p v ¬q v ¬s) ^ (p v q v ¬s). Satisfiable O...

A: Given (p∨q∨¬r)∧(p∨¬q∨¬s)∧(p∨¬r∨¬s)∧(¬p∨¬q∨¬s)∧(p∨q∨¬s) Firstly, we solve first two bracket (p∨q∨¬r)∧...

Q: Consider the function f (2) = e (a) Use the Cauchy-Riemann equations to show that f (2)is not analyt...

A:

Q: probability that at least 80% of the vill require service during their first y

A:

Q: Evaluate (p → q) ^ (¬p → q) = O pnq O p-q O p

A:

Q: Problem 4. Consider the relation R= {(1,3), (3 3, 4}. a) Find the matrix representing R. b) Draw the...

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

Q: Find the measure of the complement and the supplement of 22 dwgrees

A: Let us consider an angle be x degree Then y is said to be the complement of x if,  x+y=90° Then y is...

Q: 4. Which matrix is not in reduced row echelon form? (1 1 1 -1 1 -1 1 1 1 1 1 1 -1 1 1

A:

Q: I'm looking at page 292 of the Linear Algebra and Its Applications 5th Edition Textbook by David C. ...

A: Let us consider the linear transformation T:V→W  and B be the basis of the the vector space V Thus, ...

Q: Let † : R- → R be defined by f((x, Y)) = 5x + 7Y. Is ja linear transformation? (®1, Y1) + (x2, Y2)) ...

A: In this question, concept of linear transformation is applied. Linear Transformation A linear transf...

Q: The capacity of Jose’s vase is 2,419 milliliters of water. He poured 1 liter 299 milliliters of wate...

A:

Q: 7.4 Consider whether the following statements are true or false: a. The sum of any two convex functi...

A:

Q: 4. Let X be any finite set and define the relation R on P(X) by R= {(E,F)||E| = |F\, E, F € P(X)}.

A:

Q: )} on set {1, 2, 3, 4}. a) Find the matrix representing ? 2 . b) Find the directed graph represent...

A: Given: R = {(1,3), (3,1), (2, 3), (3, 3), (3, 4), (4, 4), (4, 1)} on set {1, 2, 3, 4}.

Q: True or False. 1. A generalised eigenvector can be a true eigenvector.

A: According to guidelines I am going to solve only 1 question. we need to find the truth or false of t...

Q: Four options are shown below. In each of them a vector field. Select the vector field for which path...

A: Here we have to check vector field which is path independent.

Q: (p O q) ^ (pЬq) = O Contradiction O p O Tautology

A: given preposition (p⊕q)∧(p⊕¬q) We know If the proposition is true in every row of the truth table, i...

Q: Find all the solutions of + 1z10 + 122 +...+11 = 0 to: Hint: What happens when you multiply the equa...

A: We will find out the required roots.

Q: 2. Which matrix rotates a three-by-one column vector an angle 0 counterclockwise around the a-axis? ...

A:

Q: Find the inverse of the given matrix if the matrix is invertible, and check your answer by multiplic...

A:

Q: sin 2x What will be value of integral | dx ? 2 (sin* + COS

A: For a function g(x) and its derivative f(x) such that ; d(g(x))dx=f(x) Then; ∫f(x)dx=g(x)+C Where C ...

Q: 4. Estimate the coefficients of the line y = ax+b such that the sum of the squared deviations betwee...

A: We need to find the coefficients a and b of line y=ax+b using Method of Least Squares. X Y 29.1...

Q: Question 5: Check whether the relation R in R defined as R = {[a, b): asb'} is reflexive, symmetric ...

A:

Q: The surface integral A dS Ā = xi + yj+zk closed surface S is defined by sphere where

A: Introduction :

Q: When calculating F dr is obtained as a result: A) - 16.884 B) - 11.959 C) 11.959 D) 16.884

A:

Q: Given: f(x) = ln(x + 2). 1. Find the third degree Taylor polynomial of f centered at 1. 2. Use the a...

A:

Q: Kenly deposits 14,300 pesos every quarterly in a savings account that pays 12% converted quarterly. ...

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: Question 6 If the amount of profit for each member of staff remained constant, how many extra member...

A: Given: 80 extra members of staff would Harveys Ltd. need to reach annual profit of $150000.

Q: Consider the function f (2) = e0 (a) Use the Cauchy-Riemann equations to show that f (2)is not analy...

A: