1) Find the general solution of ??/?? + 3? = ?^3 sin (?) Using laplace transform...

1) Find the general solution of ??/?? + 3? = ?^3 sin (?) Using laplace transform y(0) = 2

Expert Solution

Colby Messinger answered 8 months ago

1. Find the solution by using the Laplace transform. a) y ′′ + 2ty′ −4y =...

1. Find the solution by using the Laplace transform. a) y ′′ + 2ty′ −4y = 1 , y(0) = y ′ (0) = 0

Use the Laplace transform to find the solution of the IVP: a.) 2y' + y =...

Use the Laplace transform to find the solution of the IVP: a.) 2y' + y = 1, y(0) = 2 (answer should be y(t) = 1 + e-t / 2 ) f.) 4y" + y = 0, y(0) = -1, y'(0) = -1 (answer should be y(t) = -sin(t) - cos(t)) Please show work!

Find the Laplace transform of d2y/dt2

Use a Laplace Transform technique to find the solution to the differential equation (ie. initial value...

Use a Laplace Transform technique to find the solution to the differential equation (ie. initial value problem). y'' + 4y' + 5y = 35e^(-4t) y(0) = -3 y'(0) = 1

Use the Fourier transform to find the solution of the following initial boundaryvalue Laplace equations uxx...

Use the Fourier transform to find the solution of the following initial boundaryvalue Laplace equations uxx + uyy = 0, −∞ < x < ∞ 0 < y < a, u(x, 0) = f(x), u(x, a) = 0, −∞ < x < ∞ u(x, y) → 0 uniformlyiny as|x| → ∞.

a) do the laplace transform to; x(t)= e^2t . sin(3t) . sin (t) b) do the...

a) do the laplace transform to; x(t)= e^2t . sin(3t) . sin (t) b) do the inverse laplace transform to; x(s) = (3s-5) / ( (s+1).(s^2+2s+5) )

3) Laplace Transform and Solving first order Linear Differential Equations with Applications The Laplace transform of...

3) Laplace Transform and Solving first order Linear Differential Equations with Applications The Laplace transform of a function, transform of a derivative, transform of the second derivative, transform of an integral, table of Laplace transform for simple functions, the inverse Laplace transform, solving first order linear differential equations by the Laplace transform Applications: a)))))) Series RL circuit with ac source [electronics]

Find the inverse Laplace transform for 1 / ((s^2+1)(s+1))

a) Find the Fourier Cosine Transform of ?(?) = sin ? ; 0 < ? <...

a) Find the Fourier Cosine Transform of ?(?) = sin ? ; 0 < ? < ?. b) Solve, by using Laplace Transform: ?" + ? = 3 ??? 2?; ?(0) = 0, ?′(0) = 0.

Solving Differential Equations using Laplace Transform

Solving Differential Equations using Laplace Transform a) y" - y' -2y = 0 y(0) = 1, y'(0) = 0 answer: y = 1/3e^2t + 2/3e^-t b) y" + y = sin2t y(0) = 2, y'(0) = 1 answer: y(t) = 2cost + 5/3 sint - 1/3sin2t c) y^4 - y = 0 y(0) = 0, y'(0) = 1, y"(0) = 0, y'''(0) = 0 answer y(t) = (sinht + sint)/2

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