- #1
DivGradCurl
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Folks, I'm just getting started with differential equations and I need some help.
[tex]\frac{dp}{dt}=0.5p-450 \qquad (1)[/tex]
[tex]\frac{dp/dt}{p-900}=\frac{1}{2} \qquad \mbox{if }p \neq 900 \qquad (2)[/tex]
[tex]\frac{d}{dt}\ln \left| p-900 \right| = \frac{1}{2} \qquad (3)[/tex]
I'm stuck in [tex](3)[/tex]. I know
[tex]\frac{d}{dt}\ln \left| x \right| = \frac{1}{x}[/tex]
but I still don't understand how that is obtained.
Any help is highly appreciated.
[tex]\frac{dp}{dt}=0.5p-450 \qquad (1)[/tex]
[tex]\frac{dp/dt}{p-900}=\frac{1}{2} \qquad \mbox{if }p \neq 900 \qquad (2)[/tex]
[tex]\frac{d}{dt}\ln \left| p-900 \right| = \frac{1}{2} \qquad (3)[/tex]
I'm stuck in [tex](3)[/tex]. I know
[tex]\frac{d}{dt}\ln \left| x \right| = \frac{1}{x}[/tex]
but I still don't understand how that is obtained.
Any help is highly appreciated.
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