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  • Mechanical Engg. (GATE) 2008
  • It is given that y” + 2y' + y = 0, y(0) = 0, y(1) = 0. Wh...
Multiple choice

It is given that y” + 2y' + y = 0, y(0) = 0, y(1) = 0. What is y (0.5)?

  1. 0

  2. 0.37

  3. 0.62

  4. 1.13

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A Correct answer
Explanation

$\hspace{2cm}C_1+C_2=0 \Rightarrow C_2=0 \\ \text{Substitute $C_1$ & $C_2$ in equation (i), we get}\\ \hspace{4cm}y=(0+0_x)e^{-x}=0 \\ And\hspace{2cm}y(0.5)=0$

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