Solve the following differential equation. dy x=3y

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A: Formula for interpolation polynomial with Lagrange's formula is            Given,

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Q: heaviside funtion. draw the graph of       f(t) = [u(-1) - u(t-3)] (e^-t)

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A: Given that where            That is  Also, given that

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A: We have to find the regression equation and find the value for  for the given set of points.

Q: 2х, +3х2 +3*2 = 7 -х, +2х2 +3*2 = 8 Ха -X2 +2*3 = -1 =8

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A: To find the standard form of a parabola with a given focus and directrix, we can use the definition…

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A: Given: A toy's company has a factory that produces toy trucks and toy cars. The total number of toys…

Q: Using variation of parameters  x^2 y''-x(x+2)y'+(x+2)y=x^3 e^x given y1(x)=x ,y2(x)=xe^x

A: Solution is uploaded below

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Q: In Linguistics 101, the ratio of the number of juniors to the number of seniors is 3:2. When six…

A: The ratio of the number of juniors to the number of seniors is .When six more juniors join the…

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A: Here we have to fill the missing probabilities in transition diagram using a transition matrix.

Q: 5. Let f(x)=3x² and necessary. a. f(g(x)) = x-9 g(x)= -,x-1, x+1 find the following. State domain…

A: Solution is uploaded below.

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A: To understand linear and non-linear systems, one needs to grasp the following concepts/terms:1.…

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Q: call the admissible class of functions Ao = {ve C¹ [a, b] : v(a) = v(b) = 0}. suming u € Cn+¹[a, b],…

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Q: The population of a town grows at a rate proportional to the population present at time t. The…

A: t=50,  person.

Q: Find all solutions (x, y) of the given system, where x and y are real numbers. y = log₂(x + 1), y =…

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Q: 6. Use Euler's formula to obtain two points from the solution of the following differential…

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Q: QUESTION 4 55 34 P 29 43 33 45 21 50 B 26 E Find the total weights using greedy algorithm. Choose…

A: Usimg greedy algorithm we can find the total weights.

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Q: Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution to the…

A: To use Euler's method to estimate y(1) with a step size of 0.2, we'll apply the following iterative…

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Q: =teps) Given that, (G, *) be To a group such that x² = e = x&G. show that (G, *) is abelian group.…

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Q: X 1.18 f(x) 13.590 1.19 13.781 11.20 1.21 1-22 14.042 14.307 14.522

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Q: Find the area of the shaded region. 1 r = 2 cos 0 + 2 sin 0

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Q: We can always color a non-planar graph using four colors. O True False

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Q: The transition matrix for a Markov chain is shown to the right. Find pk for k= 2, 4, and 8. Can you…

A: Given that,to find  we will use matrix multiplication method.

Q: Suppose F: R→ [0, 1] is non-decreasing, right- continuous and such that limc→→∞ F(c) = 0 and limc→∞…

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Q: Reflect on the concepts of linear and non-linear systems. Is/are there any occurring fact(s) that…

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Q: Use the simplex method to solve Minimize subject to with SCEXIONS w=64y₁ +60y2 + 46y3 8y, + 6y2 +9y3…

A: The given LPP,Minimize Subject to,To find the solution to the LPP.

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Q: Question 16. Consider the following system of differential equation: 2 = 52 ty ý = 5y - x (a) Find…

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Q: Calculate the solution of the system of linear equations given in the picture using the Inverse…

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A: Triple integral over the given solid.

Q: Let x = 7 cos 0,0 <0 < T. Simplify the expression x 49-x²

A: Given that .The objective is to simplify the expression .