GATE (TF) Textile 2007 Question Paper Solution | GATE/2007/TF/24

Question 24 (Textile Engineering & Fibre Science)

Given the second order differential equation

    \[x^2y"+2xy'-6y=0\]

which of the following constitutes its general solution

(A)y=c_1x^{-3}+c_2x^2
(B)y=c_1x^3+c_2x^{-2}
(C)y=c_1exp(3x)+c_2exp(-2x)
(D)y=[c_1+c_2x]exp(2x)
[Show Answer]

Option C is correct.

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