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x" +4x'+ 3x = 30 cos(3t), x(0) = 1, x'(0) = 2 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 and x' = dt? dx and x = x(t) dt

x" +4x'+ 3x = 30 cos(3t), x(0) = 1, x'(0) = 2 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 and x' = dt? dx and x = x(t) dt

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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[ordinary differential equations; topic] Please solve the following problem Provide a well explained and understandable(readable) Step by step solution solution

x" + 4x'+3x = 30 cos(3t), x(0) = 1, x'(0) = 2 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 and x' = dx and x = x(t) dt dt?
Transcribed Image Text:x" + 4x'+3x = 30 cos(3t), x(0) = 1, x'(0) = 2 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 and x' = dx and x = x(t) dt dt?
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