1. Using Laplace Transform solve initial value problem y"+3y'+2y=e* ; y(0)= y'(0)=0

Q: Consider the following initial value problem: x" 5x14x = sin(8t), x(0) = 2, x' (0) = -1. Using X for…

A: In your answer this will be 696 place of 632

Q: Solve the Bessel equation x^2y''+2xy'+(x^2-4)y=0

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Q: 2) Use the Laplace transform to solve the differential equation y' + y' - 2y = -4; with initial…

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Q: Use the finite cosine transform of the fourth derivativ 11 T n²² Fa{f(x)} -[f'(0) - (- p³ p² - f"…

A: Here, in the question, use the finite cosine transormation of the fourth derivative f4(x). One of…

Q: Data stored on a computer disk or transmitted over a data network are usually represented as a…

A: Given that each byte is made up of 8 bits.

Q: How to solve this equation y'''+2y''+4y'+8y=5e^(3t)+1 using Laplace Transformation with initial…

A: Given: y'''+2y''+4y'+8y=5e3t+1 Taking Laplace Transformation both sides, we get…

Q: Consider the following initial value problem: x" - 5x²14x = sin(8t), x(0) = 2, x' (0) = -1. Using X…

A: We will use Laplace transformation table  f't  = s Fs− f0f'' t= s2 Fs − s f0 − f0Lsinat=aa2+s2

Q: Solve y""-2y"-5y'+6y=-12xe +2e¹; y(0)=2, y(0)=7, y"(0)=9 using the method of aplace transforms. Feel…

A: We will use the Laplace transform method to solve the above differential equation by taking the…

Q: (i) B(2,3)-

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Q: The point (-3, -3) is in QIII. O True O False

A: To check whether the point (-3, 3) is in quadrant three or not.

Q: Solve by Laplace transform method x' = 2x – 2y у'3 х — у — cos t x(0) =,y(0) = 3 4

A: Solution: The system is x'=2x-2y y'=x-y-cost x0=35,  y0=45

Q: 0st<"/2 – "/2) tz"/2 Solve using Laplace transforms. y" –- 3y' - y = } y(0) = y'(0) = 0 cos(t SHOW…

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Q: y" – 2y' + y = 0 y(0) = 1, y'(0) = 0 Solve the initial value problem using Laplace transform.

A: y"-2y'+y=0 Applying Laplace Transform and using the fact that it is linear we get Ly"-2Ly'+Ly=0…

Q: The Laplace transform L{e^-t^2} exists (because it is exponential order), but without finding it…

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Q: Solve the following initial value problem y" + 9y = 3 , y(0) = 1 , y'(0) = -3

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Q: Consider the following initial value problem: x(0) = 2, x' (0) = -1. Using X for the Laplace…

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Q: Find a 4th degree differential equation whose solution y(t) satisfies L{y(t)} = Y (s) = 1/ (s^4 +1)…

A: Formula for Laplace transformations L{0} = 0 L{a·f(t)+b·g(t)} = a·L{f(t)}+b·L{g(t)} here a and b are…

Q: Solve the initial value problem y'' - 2y' + 2y=e2t   y(0) = 0, y'(0) = 0 using Laplace transform.

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Q: If f(x) = 4e e 2(e - 1) 2e ľ e²² dt, then f' (1) = 0

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Q: Solve the initial value problem using the Laplace transform. y' = 9y + 6, y(0) = 1 y(t)

A: We solve the given IVP  y'=9y+6.....(1) y(0)=1 by using Laplace transform.

Q: Solve of differential equations by the Laplace transform -2t x' - 5x -e ", x(0) = 3 %3| | |

A: The solution of the given differential equation using laplace transform is solved below.

Q: Use Laplace transform to solve the initial value problem y"+y=d(tn), y(0)=0 and y'(0) = 0

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Q: Solve the initial-value problem using Laplace Transforms. x'' + x = e^-t sin2t;   x(0) = 2, x'(0) =…

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Q: where f(t)= 2: y'−y=f(t), y(0) = 1 0≤t≤1 t>1

A: (.) Given initial value problem is,       where (.) Some properties of Laplace transform:(.) Unit…

Q: Suppose the Fourier transform F(w)=re-lwl, is known. Show that the inverse Fourier transform, viz.,…

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