1 st Order Linear DE 0 . 2(2xy + 4y - 3) dx + (x + 2)'dy = 0 Ans. 20x = 4y - 1+ C(y + 1)-4 . (y+ 1)dx + (4x - y)dy = 0 y' = csex + ycotx Ans. y = Csinx - cosx . y' = x - 2ycot2x O (2xy + x2 + x4) dx -(1+ x2) dy = 0 Ans. (1 + x2)(x - arctanx + C) O . dy - my = Zemx ; where m & z are const dx O . vax + (2x + 1 - vx)dv = 0 Ans. xv2 = v+1+ Ce" udx + (1 - 3u)xdu = 3udu . 2y(y2 - x)dy = dx Ans. x =y2 - 1+ Ce(-yz) . dx - (1 + 2xtany)dy = 0 . y' = 1 + 3ytanx Ans. 3ycos'x = 3sinx - sin3x + C 0 . (xta))y'= bx - ny ; where a, b & n are constant 0 . y'= x -2xy ; when x = 1,y = 1 Ans. 2y = x2 - 1+2e(1-x2) . (x5 + 3y) dx - xdy = 0 . y' = x - 2y Ans. 4y = 2x - 1 + Ce-2x