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

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Q: following

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.