Present a second order differential equation. Identify the corresponding auxiliary equation. Classify its roots. Find the associated fundamental set of solutions. State the general solution. Example: DE: y"+2y'+5y =0 AE: m²+2m+5=0 Roots: -1+2i, -1 -2i complex conjugate FSS: {e *cos2x, exsin2x} GS: y = eX(c₁cos2x+c₂sin2x)

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