Use X = X + X, = eAtC + eAt e-As F(s) ds to find the general solution of the given system. Jto 10 X' = X + 0 4 6t X(t)

Q: Consider the IVP: x" + x = 4e ; x(0) = 1, x'(0) = 3. Find the general solution. A x(t) = 2e'+cost –…

A: Given differential equation is x'' + x = 4et ; x(0) = 1, x'(0) = 3

Q: Evaluate the integral shown using Simpson's 1/3 Rule with 20 panels. 12 4arctan dx O 32.52059525 O…

A: Given integral is ∫2124arctanx6dx

Q: Mark as TRUE or FALSE. You will need to give an explanation. (a) If v1, v2 ..., Vn are linearly…

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Q: Solve the system of inear equations, using the Gauss-Jordan elimination method. ar there is no…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 2s + 3 Find the Inverse Laplace Transform of (s+4)3 A e"(2cos2t +- sin2t) 2 (cos2t+ -sin21) (2cos21+…

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Q: X(1) h(t) 2 t 4

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Q: b) Prove the second De Morgan law in by showing that if A and B are sets, then AUB=ANB i) by showing…

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Q: Question 7 Find the solution. (D² - 2D - 3)y = 0; when x = 0, y = 0, y'= 4 - 3x – e 2x A y = - „3x…

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Q: Use the Newton Raphson Method to find the root of f(x) using 2.2 as the starting value of x. Iterate…

A: f(x) = tan-1x2+x-6 then f'(x) = 2x+11+x2+x-62

Q: Consider the following IVP: x" - 4x' + 4x = 4e2t; x(0) = -1, x'(0) = -4 %3D %3D

A: We have to solve the given differential equation,(IVP).

Q: a. Write in your own words a definition of a complex numbers and Modulus of the complex number.…

A: This is a problem of complex analysis.

Q: exercise Find the laplace of each f(t) 2. sin8t sin6t

A: We have to find the Laplace transform of ft=sin8tsin6t

Q: Find the solution. y' = y - xy3 e-2x A e=x?(y²+c) (A) (в B e2 =x²(y²+c) © e2» =y²(x²+c) e2x…

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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: 2. Graph the function f(x) = Identify asymptotes and holes in the x2 – 4x +3 graph.

A: If f(x)=p(x)q(x) is a rational function, then (a) f is not defined at the roots of q(x). (b) f has…

Q: a) Suppose that the universal set is U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Express each of these sets…

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Q: Find the Laplace Transform of f(t) = cos? 3t (A F (s) 2 2+ 36 s 1 B F(s) s2+ 36 6 (c) F(s) = - s2+…

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Q: 9. (a) Find the value of b when the angle between v = (b,2) and w = (-8, –6) is -. (b) Find a unit…

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Q: Find the Laplace Transform of e 2 cos3t + 5e 2 sin3t - s+2 + s2+9 15 A. g²+9 (s+2) + 15 (s2+4s) + 13…

A: To find the laplace transform of given function first we will use the linearity property of laplace…

Q: What is the general solution to the differential equation y - O + = dx? dx In(Ay – 2) = Ax + B y2 =…

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Q: [2 - 3 2 - 3 and be express as A = LU as below L4 – 1 - 2 1 c) Let A = |1 | 01 [u11 U12 U13 [2 - 3 2…

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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>1 is  R={(0,3),(1,2),(1,3),(2,1),(2,2),(2,3)} 2) the Relation R…

Q: Use undetermined coefficients to find the particular solution to y'' – 7y' + 10y = 3e-2t Y(t) =

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Q: Find the solution. dy x3 – 2y dx A y= 3x3 B 2y2 5 y3 D xy= + + II

A: To find the solution of a given differential equation first we will convert it into the form of…

Q: Find the general solution of this ODE: d²y dy + 7. + 10y = 3t2 + 4t – 1 dt? dt

A: We have to solve the given differential equation.

Q: 7. Find and classify all critical points of the function f(z, y, z, w) = a +y? + 3:2 + w? + 3ry +6rz…

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Q: In a Hardy-Weinberg situation, suppose that 249 out 400 individuals in a population express a…

A: Total individual = 400 Recessive phenotype individual = 290

Q: Consider the following bags each containing three marbles with colors white (W), black (K), yellow…

A: Study the table and look for the bag that contains exactly 1 Y.

Q: rm of the wayeform

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Q: the matrix -2 -3

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Q: Without using the membership table approach, prove the identity (AUB)nC=(AnC)U(BnC)

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Q: x+y3 Consider lim Which ONE of the following statements is TRUE? (.y)- (1, -1) x+y A. None of the…

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Q: 4. Let f(x) = x, Vx E [0, b]. Show that f is integrable and that 62 f(x) dx : Answer:

A: Given function is  fx=x, ∀ x∈0,b

Q: Question 5 Find the solution. (D2 + D- 6)y = 0 y = c,e* +c,e2 3x (A) y = c,e* +c,e-2* B – 3x -2r y =…

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Q: . ndS over the 2 = 9, where F = is the unit outw

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Q: Relationship y= (ax+bX) - Find the Linearizationof Nonlinear

A: This is the question from linearization techniques. It involves the application of differential…

Q: (2) (: Let 2 be a domain without boundary. Find an functional E(u) such that the Euler-Lagrange…

A: Given that :-     Let   be the test function , using mean value theorem  after integration…

Q: Define f:R → R by ƒ (x) = 5x if x is rational and f (x) = x² + 6 if x is irrational. Prove that f is…

A: Given :  f:ℝ→ℝ  defined by ;         f(x) = 5x,if x is rational.x2+6if x is irrational To prove :…

Q: Use a Venn diagram to determine if the pair of sets are equal. S. S'nT and (SUT')' II III IV

A: Since you have posted a multiple  question according to guildlines I will solve first   question…

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

A: This is a problem of differential equation.

Q: Write the truth table for P ˅(Q ˅ R) ↔ (Q ˅ (P →(R ˄ R))) ↔(Q ˅ ┐R)

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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: Embassy Motorcycles (EM) manufactures two lightweight motorcycles designed for easy handling and…

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

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Q: (2n)! Σ (2n)!

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Q: A. Find the area enclosed by each of the following curves. T= 4 sin e

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Q: Calculate the work done by the field F when the object moves along the given path from the initial…

A: To find Work done by the field F when the object moves along the given path.

Q: ) Using the same universal set, find the set specified by each of these bit strings. (i) 11 1100…

A: It is given that U=1, 2, 3, 4, 5, 6, 7, 8, 9, 10. We have to write the elements of the set specified…

Q: You want to receive ​$400 at the end of every six months for 5 years. Interest is 11.8% compounded…

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Q: Use undetermined coefficients to find the particular solution to y'' – y' – by = 2e-2 Y(t) =

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