Math  /  Calculus

QuestionQ(3) The particular solution of the ODE 3x(xy2)dx+(x3+2y)dy=0,y(0)=23 x(x y-2) d x+\left(x^{3}+2 y\right) d y=0, y(0)=2, is: (a) x3y+3x2+y2=2x^{3} y+3 x^{2}+y^{2}=2 b) x3y3x2+y2=2x^{3} y-3 x^{2}+y^{2}=2 c) x3y3x2+y2=4x^{3} y-3 x^{2}+y^{2}=4 (d) x3y3x2y2=4x^{3} y-3 x^{2}-y^{2}=4

Studdy Solution
نلاحظ أن الخيار (c) يتطابق مع الحل الذي حصلنا عليه.
الحل الصحيح هو الخيار (c): x3y3x2+y2=4 x^3y - 3x^2 + y^2 = 4 .

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