Problem Answer The solution is √(x2 y2 ) y = C View Solution Latest Problem Solving in Differential Equations More Questions in Differential Equations Online Questions and Answers in Differential Equations MCQ in Differential Equations DOWNLOADThe equation is M(x,y)dx N(x,y)dy =0 with M = 9x^2 3y^2 , M_y = 6y N = 2xy N_x = 2y # M_y The equation is not exact but (M_y N_x)/N = 4/x depends only on x The integrating factor x^(4) leads to the equation P(x,y)dx Q(x,y)dy =0 wi Putting values y (1 x2) = 1 1 2 2 (1 x2)dx y (1 x2) = 1 1 2 dx y (1 x2) = tan 1 Given that y = 0 when x = 1 Putting y = 0 and x = 1 in (1) y (1 x2) = tan 1 x c 0(1 12) = tan 1 (1) c 0 = 4 C C = 4 Putting value of C in (2) y (1 x2) = tan1 x c y (1 x2) = tan1 x
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