Find the DE of each of the following by eliminating arbitrary constants. Reduce your final answer in simplest form (i.e. no common factor between each term, descending order of derivatives) 2. y = C₁x + C₂e-4x Hint: multiply by ex

Q: f(t) = 2t³ 2t³e-4t

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Q: Q2) Solve the BVP utt = Uxx ux (0, t) = 0 u(x,0) = 0,_u₂(x,0) = f(x) = {100 00 01

A: Given: utt=uxx  0<x<∞,  t>0 ux (0,t) = 0 u(x,0)=0    ut (x,0) = f(x) =1000<x<10…

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Q: Question 9 Which of the following is the complete set of roots of the auxiliary equation for…

A: Given differential equation is  y''' - 3y'' + 3y' - y = 0     ....... (1) We will find out…

Q: QI complet the table: X f(x) O 1 2.71828 L2(X) = LI(X) = (x-xo) (X-X₂) (x1 - x0) (X₁-X2) (X-X₁/(x-x2…

A: Given: Q1. A table below: x 0 0.5 1 1.5 1.75 fx 0   2.71828   4.75460 To complete: The table…

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Q: x' = 1 t + 8' dy 4e-21, dx x' = tsin t², = x(1) = 0 y (0) = 3 x (0) = 1

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A: Here we have given that a mass m, initially at rest at the origin, that receives an impulse p at…

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Q: 3) (x²D² - 2xD+21)y=x³ sin

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Q: 8. dy dx || = -X y

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Q: balue for @ the Inverse Laplace of F (s)- F (0) F (S) 542 5 (8²41) S 3 s(544) 28 +1 (5²+45 +4)

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Q: 2) If the Newton-Raphson method is used to solve the equation f(x)=x²e*cos (2x) and x = 0.75, then…

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Q: Use the tables to find the z transforms of the following j. 2n k. (-3) 1. sin(nπ/2)

A: j. since Z[an]=zz-a now Z[2n]=zz-2

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Q: c) 885 275 ၂၆ d) f) 3 24y 36

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Q: QI complet the table: X f(x) 0.5 LOW= 1 2.71828 LI(X) = (x-xo) (X-X2) (X1-X 0) (X₁-Y2) L₂(X) =…

A: Given: Q1. A table below: x 0 0.5 1 1.5 1.75 f(x) 0   2.71828   4.75460 To complete: The…

Q: - Complet X f(x) the following 0.015 - J 2.71828 table: 1.5 1.75 5.75460

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Q: Find the value of lim [{(x + p) (x + q) (x + r)(x + s)}¹/4 − x] ∞07-X

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Q: Suppose f is a continuous on R and f(x + y) = f(x) + f(y) for all r,y R. Prove that for some…

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Q: = A= putting A = (-1). 5 -2 -5 1 a= 3, 5 -2 -5 1 a b C d 3 5 7 d b= 5, C= 7, d=l -2 7 1 2 12 -3 d 1…

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Q: 5. Find the DE ofhyperbolas b²x² - a²y² = a²b²

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Q: Rank each interest rate and compounding scheme in order from highest yield to lowest yield. 3%…

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Q: What is the order of the differential equation (y'*') ²-xy"=1 ? (A) 3 (B) 2 © 1 (D) 4

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Q: 2 Interpret the following using the given propositions. GIVEN: P: MATM111 is fun to learn. Q:…

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Q: Q18) IF the Saccheri quadrilateral (m180 (BAD)=85) ABCD is equivalent to the triangle EFG (m180…

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A: Given function is  f(x)=x2+bx+25 -------(1) where the maximum value ymax=39 we know that…

Q: Le the Kirchott's 100 150 106 -182 -68 68 matra I 82 -82 -168 Find the eigenvectors and eigenvalues…

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Q: Q2/Solve the following equation from t=0 to 1 with step size is 0.5 using Euler's Method. dy dx = y…

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Q: Solve: 1. (1+x)dy-yds-0 2. y dr (1+x) (separation of variables)

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Q: Question 11 Solve the differential equation. y' + y tan x = cos x A y=x sin x+c sin x (B) y=x cos x…

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Q: (PARAQ) ((PV RAQ) (PARVQ))

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A: The given equation is 3xex=1 on [0,1]. To Find: Fixed point iteration rule for the above function.

Q: 1. Use the tables to find the z transforms of the following d. e³n e. cos 3h www f. sin4n

A: Solution:     1. d) we know (from the table)                     z_transform [anu(n)] = 1/(1 - az-1)…