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Solve following differetial equations.
(1) dy/dx = 4 sin(2x)/y, y(0)=1
(2) dy/dx = -y(1+2x2)/x, y(1)=2
(3) dy/dx = -3x+4
(4) y'+2y=ex/2
(5) y'+y/5=5-x
(6) y'-2y/x=7x, y(1)=10
(7) (y2-1)dy=(t2+1)dt, y(0)=0
(8) 2(x-1)dx=(3y2+4y+y)dt, y(-1)=0
(9) (xy-3y+x-3)dy=(xy+2y-x-2)dx, y(4)=2
(10) dy=xe2ydx, y(0)=-1
(11) dy=e3x+2ydx, y(0)=1
(12) dy=y2(1-e3x)dx, y(0)=
(13) dy/(5y-2))=x dx, y(0)=10
