dy/dx = 1/xtany has solution is
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Put y−x=v
y=v+x
⇒dxdy=1+dxdv
⇒1+dxdv−xtanv=x
⇒∫cotvdv=∫xdx
⇒logsinv=2x2
⇒sinv=e2x2+c
⇒sin(y−x)=e2x2+c
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