Is y=x^3 a solution of the differential equation yy'=x^5+y

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asked Dec 23, 2021 230k views

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Is y=x^3 a solution of the differential equation yy'=x^5+y

Mathematics
middle-school

Skarist asked

by Skarist

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No; we have
$y=x^3\implies y'=3x^2$ . Substituting these into the DE gives

3x^5=x^5+x^3

which reduces to
x^3=0 , true only for
x=0 .

Amol Brid answered Dec 28, 2021

by Amol Brid

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