select the correct solution of the given differential equation: X'-x-2 sint ,x(0)=0 O d. x(t)-De -cost +sint O . X(t)=-cost -sint O C. x(t)=e -cost -sint d. x(t)=e' -cost

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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select the correct solution of the given differential equation:
X'-x-2 sint ,x(0)=0
a.
X(t)=e' -cost +sint
O b.
X(t)=-cost -sint
О с.
X(t)=e' -cost -sint
d.
x(t)=e' -cost
Transcribed Image Text:select the correct solution of the given differential equation: X'-x-2 sint ,x(0)=0 a. X(t)=e' -cost +sint O b. X(t)=-cost -sint О с. X(t)=e' -cost -sint d. x(t)=e' -cost
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