®[6.4] Using the Laplace transform to solve IVP. yu t16y= 43(t-37) H10)=2 , y'0) =0 y10)%=D2 %3D 3D0

Q: use LaPlace transforms find solutions for dx/dt+3x=e^-2t, given that t=0 and x=2.

A: The objective of this question is to solve the given differential equation dx/dt + 3x = e^-2t using…

Q: Use the method of Laplace transforms to solve the given initial value problem. Here, x' and y'…

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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: Integrate fx cos(4x) dx fa

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Q: What would the inverse Laplace Transform be for the attached function if A = 1+j4 and B = 3+j7?…

A: Step 1: Step 2: Step 3: Step 4:

Q: #cost+y)+tanh' (sint) = In 3+ yuech (+)

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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: can you show me the easiest way to solve these ode's Solve (3x^2 + y) dx + (x + 3y^2) dy = 0.  Solve…

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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: Y(s) = %3D

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