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difflikning

Posted: 10/03-2018 11:57
by polll
Hvordan løser jeg denne:
xy'+1=y

Re: difflikning

Posted: 10/03-2018 12:33
by Janhaa
polll wrote:Hvordan løser jeg denne:
xy'+1=y
[tex]\int\frac{dy}{y-1}=\int\frac{dx}{x}\\ \\ \ln|y-1|=\ln|x|+d\\ y-1=c*e^x\\ y=c*e^x+1[/tex]

Re: difflikning

Posted: 10/03-2018 13:49
by Mattebruker
OBS ! e[tex]^{ln(abs(x))}[/tex] = x > 0