- #1
chwala
Gold Member
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- Homework Statement
- ##(3x+4y)dx + (4x-3y)dy=0##
- Relevant Equations
- ##\frac{dy}{dx}##= ##v##+##x\frac {dv}{dx}##
##-\frac {dy}{dx}=\frac {3+4v}{4-3v}##
##\frac {3+4v}{4-3v}=-v-x\frac {dv}{dx}##
##-\frac {dx}{x}=\frac {4-3v}{8v-3v^2+3}##
##\frac {dx}{x}=\frac {4-3v}{3v^2-8v-3}##=[A/3v+1]+[B/v-3]##
##\frac {3+4v}{4-3v}=-v-x\frac {dv}{dx}##
##-\frac {dx}{x}=\frac {4-3v}{8v-3v^2+3}##
##\frac {dx}{x}=\frac {4-3v}{3v^2-8v-3}##=[A/3v+1]+[B/v-3]##
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