Use Laplace transform technique to solve y+2y +2y=et, y(0) = - 3, y'(0) = - 3

Q: Find the inverse transform of the equation below. R(s) = (S+7) / (s^2-3s-10)

A: We have to find inverse transform of R(s).  Firstly by partial fraction simplify the fraction,  Then…

Q: Find the Fourier Transforms of the indicated function: f (x) = cos x e−x^2/2

A: The given problem is to find the Fourier transform of the given function. Given function, f(x) =…

Q: solve xsinydx+(x2+1)cosydy=0

A: Given differential equation is: x siny dx+(x2+1) cosy dy=0 Use variable separable method to solve…

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: 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: To practice his counting, my grandson invented a card game he calls “Facetime”. He takes 2 decks of…

A: Since on every turn, the card's position is changed. Therefore, the card number which has an even…

Q: Find y" * y" at (1,1) of x'y =1

A: We have to find derivative

Q: Solve The ODE  y'=2y

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Q: dy/dx + y = xy^3   Solve the Bernoulli equation using v=y^(1-n) transform

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Q: y'' + 4y = cos2t y(0) = -2 and y'(0) = 0 Solve the IVP using the Laplace Transform.

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Q: Sº 2 19. s³ +85² + 7s

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Q: use LaPlace transforms find solutions for dx/dt+3x=e^-2t, given that t=0 and x=5.

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

Q: 2 x²e¬2® dx. Compute

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Q: Solve the equation (x^2-3y^2)dx + 2xydy = 0 using y=v.x and u transforms

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Q: A y' and Y"For Y=sin (X+ Y) 11 dar

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Q: Solve using Laplace Transform y’+4y=e^-4t, y(0)=2

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Q: Find the inverse Laplace transform of the function F(s)= (s- 4)e^-3s/(s^3 + 4s)

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Q: Solve for y' 4xy+ y² 2x2 –2y

A: The objective is to solve y'=4xy+y22x2-2y. The equation can be written as, -4x+yy+2x2-2yy2y'=0 The…