Question #163779

(y+z)p+(z+x) =x+y


1
Expert's answer
2021-02-24T06:57:43-0500

(y+z)p+(z+x)q=x+y(y+z)p+(z+x)q =x+y


dx+dy+dz2(x+y+z)=dxdyyx\frac{dx+dy+dz}{2(x+y+z)}=\frac{dx-dy}{y-x}


ln(x+y+z)2=ln(xy)+lnc\frac{ln(x+y+z)}{2}=-ln(x-y)+lnc


(x+y+z)(xy)2=c1(x+y+z)(x-y)^2=c_1


dxdyyx=dydzzy\frac{dx-dy}{y-x}=\frac{dy-dz}{z-y}


ln(xy)=ln(yz)+lnc2ln(x-y)=ln(y-z)+lnc_2


xyyz=c2\frac{x-y}{y-z}=c_2


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