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Question

The function y=ex+ex, then xy′′+12y=

A
14y
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B
14y
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C
0
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D
y
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Solution

The correct option is A 14y

y1=ex(12x)ex(12x)

y=12x(exex)

y′′=12x(ex2x+ex2x)+ 14(x)32(exex)

y′′=y4xy12x

xy′′+y=y4


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