Question

solve this: a(xdy+2ydx)=xydy​

Answer 1

Answer:

$Given  a(xdxdy+2y)=xydxdy</p><p>or  y(a−y)dy=x2adx</p><p>or  yady+x2adx=dy</p><p>Integrating,we get</p><p>∫yady+∫x2adx=∫dy</p><p> alogy+2alogx=y+c</p><p>or  logyx2=ay+c;</p><p>∴yx2=e(y+c)/a=key/a</p><p></p><p></p><p>$

Answer 2

Answer:

Given a(xdxdy+2y)=xydxdy</p><p>or y(a−y)dy=x2adx</p><p>or yady+x2adx=dy</p><p>Integrating,weget</p><p>∫yady+∫x2adx=∫dy</p><p> alogy+2alogx=y+c</p><p>or logyx2=ay+c;</p><p>∴yx2=e(y+c)/a=key/a</p><p></p><p></p><p>