Find the general solution of the 5. order linear homogeneous diferential equation. y(v)-3y(iv) = 0

Q: A VA B F rank ([₁ ⠀ IB : rc])= rank ([rB rp : rc]) = LetrAB = FB - FA and etc., calculate: FAB (TAC…

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Q: Evaluate the inverse Laplace transform s+8 ~²{; 4s + 29

A: The function is .To illustrate the inverse Laplace transform for .

Q: 2 x² – 2y²)dy = 2xydx, - y (0)

A: It can be written as

Q: Find the difference. 768nine − 367nine

A: We have to find the difference of 768nine − 367nine

Q: Solve for "y" using Cramer-exce 3x+4y-2z-w=20 4x-y-z-5w=50 2x-3y-6z+7w=60 x+y+z+2w=70 round to two…

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Q: Consider a home mortgage of $125,000 at a fixed APR of 6% for 30 years. a. Calculate the monthly…

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Q: Using Newton's linear interpolation method, calculate the logarithm of base 10 8.5 by linear…

A: Let     and              Then we need to evaluate by using Newton's linear interpolation…

Q: Let the sets A=(-6, -5, -2,2,4,5,6,8), B=(x:x^3<125 ) and C={x:\x|<8 }, Which of the following is…

A: The given sets  and .We have to find the correct following statement about the sets.A. B. C. D. .

Q: Write √3e3/4 in the form x + iy.

A: and

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A: Status are given as  good , indifferent and bad . Let us denote the status by 0, 1 , 2 respectively…

Q: Question 6 Find de sin I sin tdt. dx

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Q: (a) Apply Theorem 1 to show that n L{th ear} = ·L{tn-¹ eat}. s-a (b) Deduce that L{theat} =…

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Q: (b) A 10 kL tank of water provides water for a small village. Water is drunk from the tank at a rate…

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Q: Evaluate ff, (F n) dS in the following cases: (a) F = (2y+z, x+z, y − x) and S is the portion of the…

A: (a)

Q: 4. Use the series method to fin dthe first five non-zero terms of the solutio of the following IVP:…

A: (.)  The given  IVP is ,                    (.) The series solution is given by ,…

Q: Calculate the following integrals step by step [x³e*dx

A: Since there are multiple question according to guidelines it can be solved only first one.

Q: rable variables. Clearly indicate whether for the given initial condition the solution exists, is…

A: Given differential equation

Q: Solve the following DE using Laplace Transform 3. y" - y' -2y = 5 sinx y(0) = 1, v'(0) = -1

A: The given differential equation .We have to solve the differential equation using the Laplace…

Q: angle 7.23. Find the matrix that has the effect of rotating every vector in R² by an angle of…

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Q: Q6) The general solution of the D.E. x²y" + 3xy' + y = 0 is y(x) = In z (A) C₁+C₂ x ln x (C) B (D)…

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Q: f(t) = { e Q15) Let f(t) = (A) ¹- (D) - - e3-38 8-3 e³a-3 8-1 0 ≤ t <3, t≥ 3. e3-3a 8-1 (B) (E) -…

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Q: PLEASE PROVIDE STEP BY STEP WITH EXAMPLES AND PROPER DIAGRAM state your…

A: Proposition: The number of squares crossed by a rectangle grid of size , where M and N are positive…

Q: The currents in the circuit shown can be determined from the solutions of the given system of…

A: Replacing

Q: A study showed the following migration matrix, which describes the movement of the population of the…

A: Given:The migration matrix

Q: 2. Suppose R is the region bounded by the curves z=²+1 and r = y + 3. c. Find the volume of solid…

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Q: Find bases for the column space, row space and the null space of the matrix A. 1-25 A = 6 -5 5 -18…

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Q: inal answer can be left as an integral. A. y(-1) = 0. 3. y(0) = 0. y' - y = 1 t+1

A: A differential equation of the form is called linear differential equation and integrating factor…

Q: Air containing carbon dioxide at a concentration of 0.05% is pumped into a room with a volume of…

A: We have to find the how many  % carbon dioxide concentration in the room after 20 minutes. The…

Q: Evaluate f sin x dx + 3xy²dy, where C is a triangular path from (0,0) to (2,1) to (0,1) to (0,0).

A: Our objective is given below:

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A: We know position vector of bee if it has a velocity vector  is We are given

Q: If u= u(x, y), then solve 2uxx + 7ux-4u = 0

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Q: Consider linear vector space c¹ ([a,b]) = {f: [a,b] → Rf and f are continous on [a, b]} ||f||0,1:=…

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Q: Consider the following PDE: Vu=3(x-y), in 2; where u(x,y)=x+y Where is the region in the unit…

A: To apply the finite difference method, we need to discretize the region 2 and its boundary h. Let's…

Q: Discuss the behavior of the graph of(y-1)². a. the graph converges to y = 3 from above c. b. the…

A: I am answering only one question according to the guidelines.[11] We have to discuss the behavior of…

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Consider the function 5 5 f(x, y) In(x + yo) = defined on the…

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Q: 2. Find the inverse of a matrix if it exists and use it to solve this system of linear equations. Be…

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT ATTENTION: Observe carefully the data that is provided to you…

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Q: A graphing calculator is recommended. Use a graph to find a number 8 such that if |x − T | < 6, then…

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Q: Q1: The following data defines the sea-level concentration of dissolved oxygen for free water as…

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Q: Prove that 9|(43n+8) for every integer n ≥ 0.

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Q: y²dx + (3xy − 4y³)dy = 0

A: The  given equation   is  The given equation  can be written asIntegrating factor =

Q: Show whether the general solution of the partial differential equation Uxx + Uyy = 0 is u=sin(x −…

A: The given equation  is  Suppose  that    is  a  solution of the  given  partial differential…

Q: Find the minimum cost of a rectangular box of volume 200 cm³ whose top and bottom cost 5 cents per…

A: The solution is given by

Q: Let f be an integrable function on [a, b], and suppose that F(x) = F (a) + σ (t) dt. Prove that…

A: According to the given data, prove the following statement:

Q: Let T: P2 P3 be the linear transformation defined by 3x T(p(x)) = (x + 1)p(x) + p′(1) + - 2p(t) dt.…

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Q: Find the steady-state vector for the matrix below. 0.6 0.1 0.4 0.9 The steady-state vector is (Type…

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Q: Follow the curve sketching process for y = cos 2x + sin x on the interval [0, 2π]. Remember that the…

A: The question given has multiple parts so we shall solve first three parts of the question if you…

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Q: Find an arc length parametrization r₁ (s) of the curve r(t) (e' sin(t), e' cos(t), 12e¹). E (Give…

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Q: 3. Solve the following differential equations using the method of variation of parameters: ry″ − y =…

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