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QUESTION 1 Solve the IVP x" + 9x =cos(2t) x(0) = 8 x'(0) = 9 then find x(0.25) accurate to at least the nearest thousandth (3 decimal places). Put the value of x(0.25) in the answer box.

QUESTION 1 Solve the IVP x" + 9x =cos(2t) x(0) = 8 x'(0) = 9 then find x(0.25) accurate to at least the nearest thousandth (3 decimal places). Put the value of x(0.25) in the answer box.

Advanced Engineering Mathematics
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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QUESTION 1 Solve the IVP x" + 9x =cos(2t) x(0) = 8 x'(0) = 9 then find x(0.25) accurate to at least the nearest thousandth (3 decimal places). Put the value of x(0.25) in the answer box. QUESTION 2 Solve the IVP d3 dt3X(t) - 9x(t) = 18 e-3t X(t) = 18 e =3t x(0) =8 x'(0) = 9 x"(0) = 0 then find x(0.5) accurate to at least the nearest thousandth (3 decimal places). Put the value of x(0.5) in the answer box.
Transcribed Image Text:QUESTION 1 Solve the IVP x" + 9x =cos(2t) x(0) = 8 x'(0) = 9 then find x(0.25) accurate to at least the nearest thousandth (3 decimal places). Put the value of x(0.25) in the answer box. QUESTION 2 Solve the IVP d3 dt3X(t) - 9x(t) = 18 e-3t X(t) = 18 e =3t x(0) =8 x'(0) = 9 x"(0) = 0 then find x(0.5) accurate to at least the nearest thousandth (3 decimal places). Put the value of x(0.5) in the answer box.
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