- #1

chwala

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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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