Questions
a
ysiny=x2logx+x22+c
b
ycosy=x2logx+1+c
c
ycosy=x2logx+x22+c
d
ysiny=x2logx+c
detailed solution
Correct option is D
∫ycosy+sinydy=∫2x lnx+xdx∫ycosy dy+∫siny dy=2∫xlnx dx+∫x dx integrate only first termsy∫cosy dy-∫1 ∫cosy dydy+∫siny dy=2 lnx∫x dx-∫1x∫x dxdx+∫x dx ysiny-∫siny dy+∫siny dy=2lnx x22-∫1xx22dx+∫x dx y siny=x2ln x-22∫x dx+∫x dx ⇒ysiny=x2ln x+cTalk to our academic expert!
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The general solution of the differential equation is
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