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Differential Equations
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linear equation of order one:
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@jiteshmeghwal9
\[\int\limits_{}^{}-\frac{ v }{ e^v }dv\]
wht d u want me to find ?
@Caerus
how can i integrate this? ^.^
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\[\int\limits-ve^{-v} dv\]use by parts methd from here
\[\text{Integration}=v \int\limits e^{-v}dv-\int\limits {\left( \frac{d(v)}{dv}*\int\limits e^{-v}dv \right)dv}\]
i got ve^-v + e^-v +c
It should be \[ve^{-v}-e^{-v}+c\]
ok thanks
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moving on to the next problem
\[\text{integration}=-\left( v \int\limits\limits e^{-v}dv-\int\limits\limits {\left( \frac{d(v)}{dv}*\int\limits\limits e^{-v}dv \right)dv} \right)\]
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