Solve: x"-x+ 5 y'=t y"-4 y-2x = -2 with x(0) = y(0) = x'(0) = y'(0) = 0 Let L{x(t)} = U(s) & L{y(t)} = V(s). Evaluate: U(2) Round-off answer to 2 decimal places.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solve: x" -x+ 5y' = t
y" - 4 y-2x'= -2
with x(0) = y(0) = x'(0) = y'(0) = 0
Let L{x(t)} = U(s) & L{y(t)} = V(s).
Evaluate: U(2)
Round-off answer to 2 decimal places.
Transcribed Image Text:Solve: x" -x+ 5y' = t y" - 4 y-2x'= -2 with x(0) = y(0) = x'(0) = y'(0) = 0 Let L{x(t)} = U(s) & L{y(t)} = V(s). Evaluate: U(2) Round-off answer to 2 decimal places.
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