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anonymous
 one year ago
why is y=0 also a general solution for this example
http://ocw.mit.edu/courses/mathematics/1803scdifferentialequationsfall2011/unitifirstorderdifferentialequations/basicdeandseparableequations/MIT18_03SCF11_s1_5text.pdf
??
anonymous
 one year ago
why is y=0 also a general solution for this example http://ocw.mit.edu/courses/mathematics/1803scdifferentialequationsfall2011/unitifirstorderdifferentialequations/basicdeandseparableequations/MIT18_03SCF11_s1_5text.pdf ??

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Substitute \[y=0\] in the differential equation \[\frac{ dy }{ dx } = y^{2}\] on LHS: \[\frac{ dy }{ dx } =\frac{ d }{ dx }(0) = 0\] and on RHS \[y^{2} = 0^{2} = 0\] Since both sides are 0, y=0 is a solution to the differential equation, and is part of the general solution. As a side note this is a lost solution i.e. by separating variables for solving the differential equation, the solution y=0 was lost. So always be on watch for lost solutions :D
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