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2. Solve the following differential equations. a) 2xy3dx−(1+x2)dy⇒0 b) dxdy​+2y=y2 c) xdxdy​+2y=5x3 d) dxdy​+x3y​=x2+4 e) dxdy​=yex+y​ f) 49y′′+14y′+y=0 g) 2y′′−2y′+5y=0 h) [sin(xy)+xycos(xy)]dx+[2+x2cos(xy)]dy=0 i) (xy​​+cosx)dx+(yx​​+siny)dy=0 j) y′′+8y′−9y=0