x"+ 4x' + 3x = 30 cos (3t), x (0) = 1, Solve the above IVP and then find x(0.25). Put x(0.25) accurately calculated to the nearest thousandth (3 decimal places). Notation: d²x dt² x"=- dx and x'=- dt and x = x (t) x'(0) = 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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x"+ 4x' + 3x = 30 cos (3t), x (0) = 1,
Solve the above IVP and then find x(0.25).
Put x(0.25) accurately calculated to the nearest thousandth (3 decimal places).
Notation:
x"=
d²x
dt²
dx
and x'=- and x = x (t)
dt
canned with CamScanner
x'(0) = 2
Transcribed Image Text:x"+ 4x' + 3x = 30 cos (3t), x (0) = 1, Solve the above IVP and then find x(0.25). Put x(0.25) accurately calculated to the nearest thousandth (3 decimal places). Notation: x"= d²x dt² dx and x'=- and x = x (t) dt canned with CamScanner x'(0) = 2
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