Solve x²(d²y/dx²) + 2x(dy/dx) - y/x² = 0 | GATE Textile Engineering 2009 Q. 25

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Textile Engineering > GATE 2009 > Differential Equations

The general solution of the differential equation
x²(d²y/dx²) + 2x(dy/dx) - y/x² = 0 is

A

y=c₁cos x+c₂sin x

B

y = c₁e^x + c₂e^-x

C

y=(c₁+c₂/x)e^(1/x)

D

y=(c₁+c₂x)e^x

Correct : c

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