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Mathematics 18 Online
OpenStudy (erikaxx):

help me in this kind of linear differential equation, plsssssssssssssssss

OpenStudy (erikaxx):

problem is \[(10-t)dQ +(2Q+4t -80) dt = 0\]

OpenStudy (erikaxx):

@baru

OpenStudy (kky10997):

\[dQ/dt=(2Q+4t-8)/t-10\]

OpenStudy (erikaxx):

then what to do

OpenStudy (baru):

\[dQ/dt=\frac{(2Q+4t-8)}{t-10}\\ \frac{dQ}{dt} = \frac{2Q}{t-10}+ \frac{ 4t-8}{t-10}\]

OpenStudy (kky10997):

\[\frac{ DQ }{ dt } -\frac{ 2Q }{ t-10}=\frac{ 4t-8 }{ t-10 }\]

OpenStudy (kky10997):

so \[p= \frac{ -2 }{ t-10 },q=\frac{ 4t }{ t-10 }\]

OpenStudy (erikaxx):

IF is \[e ^{\int\limits \frac{ -2 }{ 10-t }dt}\]

OpenStudy (kky10997):

yes

OpenStudy (kky10997):

no

OpenStudy (kky10997):

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