+6y' - 2y = -7, h initial conditions: y(0) = -7,y'(0) = 2. Y(s) represent the Laplace Transform of y(t). Then Y(s) can be represented as d +bs + c)Y(s) = equation: +e+ fs, 8 ere b, c, d, e and f are constants.

Q: Find y as a function of a if y(0) = 7, y'(0) = 4, y"(0) = 133. y(x) = y" - 8y" -y + 8y = 0,

A:

Q: consider the ODE y'=2y/x, y(x0)=y0 does it have a solutioon for i. x0=0 and y0/=0…

A: @

Q: Find the point D'4, symmetric of D4 with respect to the line F4B1. F4: (-2,1,3) D4: (1,2,3) B1:…

A: Here we will find poinr D'4 symmetric of D4

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A:

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A:

Q: Find y as a function of a if y(1) = 3, y'(1) = -7. y = r²y" + 3xy' - 63y = 0,

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Q: If we call the Fourier transform of x(t) as X (w), what will be the Fourier transform of (e^bt)x(t)

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Q: Find the inverse Z transform of X(Z) = z^(-2) + 2z^(-3) + 5z^(-4)

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Q: se-2s -)=D 's²+45+3

A: Given,

Q: Given the function f(t)=e^{2t}sin(3t), find the Laplace Transform, F(s).

A: The Laplace Transform is a tool used to transform a function of a real variable t (usually time)…

Q: solve: y" - Hý + 4y = 4szt; y(0)=2₁ y(a)=5 using Laplace transform

A:

Q: 2.) у" - Зу' — 2у %3D0 У (0) %3D0, у'(0) %3D 9 ,у" %3D0

A:

Q: (:' } - 8) zp - Vz(z – 2)

A: We use the difference of cube formula for numerator

Q: осод ва меньва оз 4.th order. вида у со.в), comest Фу decimal placesi 16 - д-х2, у (06) =117379

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: (a) y'=ty (3-y), (b) y'=y (3-ty), (c) y'= -y (3-ty), (d) y'=t-1-y², y(0) = yo y(0) = yo y(0) = yo…

A: We will be graphing the slope field of the given differential equation along with the interpretation…

Q: Find y as a function of a if y(1)9, y'(1) = -5. y = x²y" - 15xy' + 64y = x²,

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Q: Q3) Verify that the Fourier transform of the function [1–|x|, 1-|x|, |x|1 ƒ (x) = = { 1 + 0 is ƒ…

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Q: Find the inverse Laplace transform f(t) = £¯¹ {F(s)} of the function F(s) = e −3s (1 – 4s) s² + 16

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Q: find dy/dx if y=((t-1)/(t+1))^2 and x= (1/t^2)-1 at t=2

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Q: W = x =t' +7, y=cos(2t), z=4t COS

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Q: Part A how that L(tnf(t)) = (−1)n ((dnF(s))/(dsn)), where F(s) is the laplace transform of y(t). In…

A: Hi, It is multiple sub-parts, I am going to solve the first part only.

Q: f(z)=ze^tz/z^2+1 for this function find the Rez(f(z),i) and Rez(f(z),-i) .

A:

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A: Step 1. Homogeneous Solution (y_h):We start by assuming the solution for the homogeneous equation…

Q: Which of the following is the RUA that gives a new governing council member to the borax planet…

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Q: Prove that the Dirac delta function satisfies +∞ 1 S(t – t') = 2/= t 2π ģ exp(-iw[t − t']) dw,

A: First recall the definition of Fourier transform and inverse Fourier transform of a  function The…

Q: Consider the initial value problem for function y given by, y" - 3y + 2y = - 8(t-3), y(0) = 0, y'…

A: Given differential equation: We have to solve the given differential equation.

Q: 5. (Ci | Show that L{e"t"} = n! in two ways: (s- a)n+1 (a) Use the translation property for F(s).…

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Q: Find y as a function of a if y" - 3y" y + 3y = 0, y(0) = -7, y' (0) = -4, y" (0) = 9. y(x) =

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Q: Find y' (x) if (3xy +7)² = 6y.

A: Differentiate both sides with respect to x and by using the formula for derivative of square of…

Q: Sketch the phase plane for x = x + 2y, y = 4|x| + Зу.

A: Here, we need to sketch the phase plane x˙=x+2y, y˙=4|x|+3y. Let us first find the critical points.…

Q: + -27 f(t)= eu(t) te uct)

A: The Fourier transform of the function f(t) is represented as F(k), it is defined as ∫-∞∞e-iktf(t)dt,…