Б) у —у +Зу — 5у%3D—-бе-t У () %3 1, у (0) %3D2, у' (0) %3D— 4

Q: Find the inverse laplace transform of: 6. F(s) es.s(n+1) 6tn-1 f (t) = u (t – 1) (n+1)! f (t) = (t –...

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Q: Using Variation of Parameters determine the general solution of the differential equation y" - 2y' +...

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Q: et union finite set is a finite set. n of two disjoint denumerable sets is of real numbers is counta...

A: We have to show which of the following is true a) Infinite set union finite set is finite set b) The...

Q: DIFFERENTIAL EQUATION Solve y"-y-2y = 0

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Q: If the carrying capacity of the Earth is K = a/b = 14 billion people, what will be the population at...

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Q: Solve the following and show your complete solution 1. Find Maclaurin Series Expansion and Compact f...

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Q: 3. V(3437)3 + 10215

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Q: 2. If p > q > 5 and P and q are both primes, prove that 24 p - q² |

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Q: 1. Detemine, whether and -V5 are roots of the equation 10a – 5 = 2a3 – a?.

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Q: Consider the following system of equations. Зх + 3у + 3z %3D —3 -2х + у — 2z % 5 —3х + у — 3z %3D7 -...

A: The given problem is to find the solution for the given system of linear equations using Gauss elimi...

Q: Let (an) be a sequence of nonnegative real numbers. Prove that ∑an converges iff the sequence of par...

A: Result : If a sequence is monotonically increasing and bounded or (bounded above ) then that sequenc...

Q: Find Lnz when z = 0.6 + 0.8i

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Q: Solve the system 4.x1 -5x2 +4x3 +4x4 +x2 +3r3 +2x4 3x1 -4x2 +7x3 +6x4 = 2x1 -2r2 -6x3 -4x4 = 3 5 8 +...

A: Given system of equation is 4x1−5x2+4x3+4x4=3−x1+x2+3x3+2x4=53x1−4x2+7x3+6x4=82x1−2x2−6x3−4x4=−10......

Q: onsider the following Gauss-Jordan reduction: 1 4. 0. 1. 4. 0 0 -24 0 0 10 0 1 0 0 1 00 1 00 1 A E,A...

A: The solution is given as  

Q: This work aims to investigate the equilibria, local stability, global attractivity and the exact sol...

A: Given equation is as follows: un+1=un-1+un-1un-5un-3-un-5,   n=0, 1, .....................(10) The s...

Q: Determine whether the pairs of functions in Problems 20 through 26 are linearly independent or linea...

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Q: 1 54 1 54 0 [1 [1 0 0* -5 -270 1 1 1 -9 0 1 = I -9 -9 1 1 6- E,A E,E,E, A E,E,E,E,A Find E1 E2 E = E...

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Q: If Z1 = -2 – j3 and z2 = 3 + j4 %3D what is Z1 Z2

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Q: Apply the Convolution Theorem to determine the Laplace transform of : f (t)=[re-2" sin 3(t - t) dt 3...

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Q: Given the differential equation y " +y= sec(x). Using the method of variation of parameters, which o...

A: The given problem is to find the equations of method of variation of parameters which gives the solu...

Q: The differential equation of a spring/mass system, vertically oriented and with no external force pr...

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Q: Find the laplace transform of the piecewise function: (1, 0<t< 2 y = let, t 2 2 (- e2 L (y) = +e-2s ...

A: The solution is given as

Q: Which of the following is NOT true about the set 2N = { 2, 4, 6, 8, 10, . . .}?   A.) It is infinit...

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Q: A population P obeys the logistic model. It satisfies the equation dP 5 P(7 – P) for P> 0. dt 700 (a...

A: Evaluation of the intial value problem

Q: 12. y" + 6y + 13y 0; y =e-3 cos 2x, yz = e-3 sin 2x; y(0) = 2, y'(0) =0 %3D %3D

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Q: Charlie will be cooking a whole chicken in the oven for dinner at 6:00pm. According to his recipe, t...

A: as the frozen chicken has taken to recipe, it has to under go a phase change.  thus newton law of co...

Q: Eq. (10) gives us that U8n-7u8n-11 U8n-5 = U8n-7 + U8n-9 U8n-11 c"e2n-1 an-1(c-e)n-1(a-c)n an-1(a-c)...

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Q: If the Laplace Transform of F (t) = t sin(t) is 24s (s2-1) f (s) = what is the Laplace Transform of ...

A: To solve given question we use the first shifting theorem and solve.

Q: x²+y² c2. y' ху

A: Note:- Our guidelines we are supposed to answer only one question. Kindly repost other question as t...

Q: F1

A: Please find attachment for the details solution 

Q: Let S be the set of numbers of the form { ((-1)^(n)) (2n + 1)/(4n - 1) } where n is an element of th...

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Q: 1. Let (A, B, C) be a partition of S = and (2) d e A. What can we say about |C|, the size of C? Just...

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Q: (In 5)" Taylor/Maclaurin series can be used to determine the exact value of What is this value? n! I...

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Q: Exercise 3: Use Laplace transform to solve the following initial value problem: y"(t) + y(t) = 6(t –...

A: To solve given initial value problem first we take Laplace transform of both sides and solve it for ...

Q: dy ースト sint and yozo solve wih Laplace's melkod for こ0 2.

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Q: Which of the following is an example of an infinite set which is bounded and countable? * A.) The se...

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Q: Consider the following non linear equation where x is the independent variable, y is the dependent v...

A: For a linear equation of the form: y=mx+b, the slope or the gradient is m and the y-intercept is b. ...

Q: 1 -1 -1 1 -1] Let A -1 -1 1 1 1 Find a non-zero vector x in the null space of A. -1 -1 -1 -1 X =

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Q: If both p and p^2 +8 are prime numbers then show that p^3+4 is also prime number

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Q: 22. f(x) = 1+x, g(x) = 1+x (x)8 x:

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Q: (a) Let n be a positive integer greater than 2. Show that 1 1 + + 3 1 + 1 1 0, there exists n such ...

A: (a) Given n be a positive integer greater than 2  show that  12+13+......+1n&lt;lnn&lt;1+12+13+........

Q: 08 O G • 10. Which point is the solution of the given graph?" O (10, 0) O (7. -2) O (4, 8) (8, 0) 11...

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Q: 2 -6 -3 V2 = 5 V3 15 (a) For what values of h is v3 it Span{v1, V2}? Justify. (b) For what values of...

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Q: Suppose that ff is given for xx in the interval [0,12] by: x= 0 2 4 6 8 10 12 f(x)= 17 13 ...

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Q: 1. For each of the following matrices A, find a basis for im(A) and ker(A). 1 2 3 (a) -2 4 1 4 0 5

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Q: 36- 32+ 28 24 20 16- 12 4 -4 -3 -2 For the above function f( x - 7.0.65*, estimate f (x) using h = 0...

A: Derivative at point 

Q: o matrices A and B one has that Null(B) is contained in Null(A · B).

A: Given, for two matrices A and B, to show that Null (B) contained in Null(A·B).

Q: Define E to be the empty set and further define F = {E}, G = {F}, H = {E, F}, and I = {E, F, G,H}. (...

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Q: Jennifer took clothes to the cleaners three times last month. First, she brought 2 shirts and 2 pair...

A: Consider the given information. Let Shirts=x Slacks=y And Sports coat=z Hence, according to the ques...

Q: - 4 -1 3 4 -1 - 8 5 - 2 4 Find det(B) by the row 1 5.

A: In the given question, the concept of the determinant is applied. Given, B=05-2-412-14-34-1155-89