Consider the following IVP: y"-3y'+2y = e3t; y(0) = 0, y'(0) = 0 Find the general solution. – 2e -2 +e 3) %3D y(1) = -(e² - 2e' + 2e) © y(1) 4 (D 2 B.

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A: Given curves are f(x) = x + 8 and  g(x) = x2 - x Graph is given by

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Q: F(p), then prove that

A: simple use of integral transformation

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A: The Inverse Laplace transformation formula are L-1ss-a2+b2=eatsinbt, L-1s-as-a2+b2=eatcosbt.…

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A: Given Differential equation is x'' - 4x' + 4x = 4e2t

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Q: 1 Find the Inverse Laplace Transform of s2+2s+ 10 -'cos3t B -Isin9t 3 cost 9 -'sin3t (D 3

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A: Sample size less than 30 so we use t test

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Q: li – x2 = 2 1 + 4.x2 = 5 here (0) = (0,0)" Limit all approximations to 4 decimal plac

A: Here we use two iteration with 4 decimal place.

Q: OLVE THE EQUATION LISTED BELOW. -4x1 + 2x2 = -6 3x1 – 5x2 1 %3D

A: Follow the steps 1) Manually put values for the number of iterations, x1, x2 in cells  E1, F1, and…

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Q: Find the eigen values and eigenfunctions the Sturm-Liouville problem : yu +Aj =o Yco) = 0, Y(7) = 0…

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Q: 4. Find the Laurent series of the following function : f(2) = ; (z + 1)(z + 3) region 2< |z - 1| < 4

A: Given the function fz=1z+1z+3   region 2&lt;z-1&lt;4 We have to find the Laurent series for the…

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Q: How 1지 - (지f f. ① Find the derivative for dhe follawing funedions? is f(x) Gntimeug ? (b) x-1 영 In()

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Find the area bounded by the graphs of f(x)=x+2 , g(x)=3x²+5 , x=-1 and x=1.

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A: Five point FD Approximation and CD Approximation:--- ..  I this Error is 0%

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A: Solve Maze Using Breadth-First search (BFS) Algorithm:--- it's time to model it into a graph. A very…

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Q: Match the graphs on the left with the correct equations on the right.

A: The value of sine function  and cosine function is given as x 0 π2 π 3π2 2π y=sinx 0 1 0 -1 0…

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Q: Find the area to the

A: Given, the left of z=-1.96 or to the right of z =1.96.

Q: 1- 3s Find the Inverse Laplace Transform of G (s) =- s2+ 8s +21 13 8 (1) = – 3e -d"cosh(V51) +…

A: Solution:-