GATE (TF) Textile 2013 Question Paper Solution | GATE/2013/TF/33

Question 33 (Textile Engineering & Fibre Science)

The particular integral of \frac{d^2y}{dx^2}+5\frac{dy}{dx}+6y=e^{2x} is

Answer / Solution

m=-2 ,-3
Perticular integral(P.I.)=\frac{1}{D^2+5D+6}\times e^{2x}
P.I.=\frac{1}{2^2+5\times 2+6}\times e^{2x}
P.I.=\frac{1}{20}\times e^{2x} (Ans)
Option A is correct

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