Consider the differential equation y() + ay(-) + ay(-) + ... + ay = b(x) where...

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Consider the differential equation y(") + ay("-¹) + a₂y(²-²) + ... + a₂y = b(x) where a₁, a.....a are constants and b(x) 0. Let Y₁₂ y, are the linearly independent solution of differential equation then which of the following is/are true? 72 ΣG;Y₁, C; € R is always a solution of differential equation If Σ;y; is a solution of differential equation, then c; <1 Vi,1≤isn GN If Σ c;y; is a solution of differential equation, where c; > 0\i,1≤ i ≤n. Then g <1\i,l≤i≤n None of the above Consider the differential equation y(") + ay("-¹) + a₂y(²-²) + ... + a₂y = b(x) where a₁, a.....a are constants and b(x) 0. Let Y₁₂ y, are the linearly independent solution of differential equation then which of the following is/are true? 72 ΣG;Y₁, C; € R is always a solution of differential equation If Σ;y; is a solution of differential equation, then c; <1 Vi,1≤isn GN If Σ c;y; is a solution of differential equation, where c; > 0\i,1≤ i ≤n. Then g <1\i,l≤i≤n None of the above

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