1. Solve x + x = sin 2t with x(0) =2 and x(0 Transform. [Tools: L{sin bt} b s²+b² 3 L{cos bt} S s²+b² L{x} = s 2. Using the power series method, find the general solutio about the point x(0) = 0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
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1. Solve x + x = sin 2t with x(0) =2 and x(0) =1 using Laplace
Transform.
L{x} = s² X(s) — sx(0) - *(0)]
dy
2. Using the power series method, find the general solution of + y = 0
dx
about the point x(0)
[Tools: L{sin bt}
b
s²+b²
=
5
L{cos bt}
S
s²+b²
Transcribed Image Text:1. Solve x + x = sin 2t with x(0) =2 and x(0) =1 using Laplace Transform. L{x} = s² X(s) — sx(0) - *(0)] dy 2. Using the power series method, find the general solution of + y = 0 dx about the point x(0) [Tools: L{sin bt} b s²+b² = 5 L{cos bt} S s²+b²
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