Given the following differential equation and its initial conditions y" - 3 y' + 2y = e with y(0) = 1 and y'(0) = 0 1. Apply Laplace Transformations to each part of the differential equation. 2. Solve your new equation for "Y(s)" 3. Convert your answer back into "y(t)" ® (1) = -* 17 31 3 12 B() %3D 3. © »() - - " + 17 26 -2r 20 O (1) = - 2 + E y(1) = 11e+ + 20e-3 4 et 5 20

Q: 11) 60

A: Here I am attaching image so that you understand each and every step.

Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

A: We need to find lower and upper estimate.

Q: 10) 21 68

A: We know that tan θ=Opposite sideAdjacent sidetan(68)=x21

Q: Determine, with justification, whether the series converges absolutely, converges conditionally, or…

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Q: 9) 60

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Q: 1. 2. 3.

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Q: 18 and 19

A: Question 18 : Consider the statement "If A∪C ⊂ B∪C, then  A ⊂ B " which of the following is a…

Q: 9 b and c

A: b) We check if the denominator is 0 for any value of x.  2x2+5=0 2x2=-5 x2=-5/2 (not possible) So…

Q: 3) 24 12

A: We can find the value of x as below

Q: 6.1 4

A: Given that  The vector

Q: 8) 16 15

A: Answer is below

Q: 5. 20 52

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Q: 4) 37 12

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Q: 11 11 4. 64

A: Given: simplify the expression

Q: 2. 27

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Q: 14 19

A: To find :- x  Given :- Base = 14 , Hypotenuse = x ,               and θ= 49°   By using…

Q: 5.1 16

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Q: The columns of Q were obtained by applying the Gram-Schmidt process to the columns of A. Find an…

A: Solution by using Gram-Schmidt process as follows :

Q: 29 33

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Q: Let A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

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