Follow the instructions below: a. Use Laplace transforms to solve the following Differential Equations with initial conditions. 1. .) d² + y = et dy - x = 3e-t dt given : x(0) = 0, y(0) : 0, y(0) = 1. dy dt - x = 0 da+y=1 dt given : x -1, y(0) = 2. (0) = =1.
Follow the instructions below: a. Use Laplace transforms to solve the following Differential Equations with initial conditions. 1. .) d² + y = et dy - x = 3e-t dt given : x(0) = 0, y(0) : 0, y(0) = 1. dy dt - x = 0 da+y=1 dt given : x -1, y(0) = 2. (0) = =1.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Follow the instructions below:
a. Use Laplace transforms to solve the following Differential Equations with initial
conditions.
1. .) d² + y = et
dy - x = 3e-t
dt
given : x(0) = 0, y(0)
: 0, y(0) = 1.
dy
dt
- x = 0
da+y=1
dt
given : x
-1, y(0) =
2.
(0)
=
=1.
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