OTI Math 4173: HW #0-04 NAME: Solve the following systems of differential equations by Laplace Transform...
Use the Laplace transform to solve the given system of differential equations. Use the Laplace transform to solve the given system of differential equations. of + x - x + y = 0 dx + dy + 2y = 0 x(0) = 0, y(0) = 1 Hint: You will need to complete the square and use the 1st translation theorem when solving this problem. x(t) = y(t) =
Use Laplace Transform to solve the following Differential Equations b) y'' +9y x?, y(0) = 0, y (0) = 0.
differential equations Use the Laplace transform to solve the given initial-value problem. y" - sy' + 16y = t, Y(0) = 0, y'(0) = 1 y(t) =
Using Laplace Transform (LT) and Inverse Laplace Transform (LT) solve the following system of equations: 1. X'=- 2x + 5oy y' = x - y With x(0) = 25, and y(0) = 0 2. x' + 4x - y = 7t x' + y' - 2y = 3t With x(0) = 1, and y(0) = 0
2. Using Laplace transform, solve the system of differential equations d.x: dy dt where x(0)1 2. Using Laplace transform, solve the system of differential equations d.x: dy dt where x(0)1
Use Laplace Transform to solve the following Differential Equations a) y - 2 sin(5t) = y, y(0) = 0
Use the Laplace transform to solve the given system of differential equations.$$ \begin{aligned} &\frac{d x}{d t}=x-2 y \\ &\frac{d y}{d t}=5 x-y \\ &x(0)=-1, \quad y(0)=5 \end{aligned} $$
Use Laplace Transform to solve the following Differential Equations y - zsin (5+)=Y , Y'(o)=0 Y
Use Laplace Transform to solve the following Differential Equations: d) dy + 4y = 2e – 4e- y(0) = 0 dx
1. y(3)-2y"+Sy.-0, y(0)-O, V00)-Ly( )-i using Laplace transform, solve y(t) and y"(0) af ecOS