Solve the following differential equation using Laplace transformation y′′ +4y′ +20y = (greek symbol delta)(t − 2) when given y (0) = 3, y′(0) = 1

Q: Use Laplace transformation to solve the following differential equations: y" + 4y = = sint + u, (t)…

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Q: Solve the differential equations by the method of Laplace transformation. 3y" – y' + 2y = 2x + 4

A: According to question given that :3y"-y'+2y=2x+4We have to calculate the Laplace transformation of…

Q: y" +6y' + 4y = 10e ; y(0) = 0, y'(0) = -2 Answer: y = et -e-t +e-* 3

A: We are given the differential equation : y''+6y'+4y=10et Taking Laplace transform both sides, we…

Q: Using Laplace transformation, the solution of the following differential equation y" – y = e2t, with…

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Q: Q1. Use the Laplace Transformation to solve the following linear differential equation system. yi -…

A: Apply Laplace transform to the given set of equations.

Q: Let Solve the differential equation using Laplace transforms. y(t) = t/16+5cos(4t)+95/64sin(4t) g(t)…

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Q: Transform the following differential equations into start form for linear differential equations

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Q: Show that the transformation z = log tan (x/2) reduces the differential equation d²y +cotr +4x…

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Q: 1. ƒ(x)=x²- = x² - secx 2. w = ex²-x² + 4x 3. h(z)=In(2z)sin(2z) 3x² 4. y= √x² +1 5. y³ + 2xy = 3

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Q: find the solution of following differential equation using Laplace transformation. y" + 3y + 2y = ex…

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Q: Transform (x + 3y)dr – xdy = 0 to a possible standard form of first ordered linear differential…

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Q: E.X; Let T = {E₁ = (-∞,a): a = R}U{R,Ø} be a topology on R and let A = [2,3), B=(3,4), C = (1,5], D…

A: It is given that,  T = Ea=-∞, a : a∈ℝ∪ℝ, ∅ is a topology on ℝ. We have to find the closure of the…

Q: Use Laplace Transformation to solve the differential equation y-2Ky +Ky=2e*(K+cosKx) (0) =1 and…

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Q: y - 5y + 6y = e2t

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Q: Determine the direction and magnitude of the phase shift in f(x) = 3sin(x + n/6) - 2 O n/6 O None of…

A: We have to find out

Q: Solve the following differential equation using Laplace transformation: d²y -8+ 23y = 4e-4; Subject…

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Q: Let 13 20 x 20+ y = 2 be the equation of a curve in the xy-plane. Find the equation y = T(x) of the…

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Q: If y, (x) = 2 is a particular solution of the y' +y? + (2cot2x)y – 4csc² x = 0 differential…

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Q: Transform the differential equation 9y" +14-81 - 126y= 5et y(0) = 0 3/(0) = 0 3'(0) = 1 into an…

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Q: Which of these differentials is exact? (only one of them is exact) (1 – 2xy)dx + (x² + y²) dy O (22…

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Q: If New Hampshire's population was 1.4 million in 2018 and there were 1.3 million motor vehicle…

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Q: (a) Solve the following differential equation using Laplace transformation technique: y- 3y'+2y =…

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Q: d*y dx4 - y = 8(x – a); Solve the differential equation using the Fourier transform technique.

A: Convert the differential equation into its Fourier equivalent:…