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question_answer1) The solution of the differential equation \[{{x}^{2}}\frac{dy}{dx}={{x}^{2}}+xy+{{y}^{2}}\] is
question_answer2) Solution of differential equation \[2xy\frac{dy}{dx}={{x}^{2}}+3{{y}^{2}}\] is [MP PET 1993]
question_answer3) The solution of the differential equation \[({{x}^{2}}+{{y}^{2}})dx=2xydy\] is [MP PET 2003; Orissa JEE 2005]
question_answer4) The solution of the equation \[\frac{dy}{dx}=\frac{x+y}{x-y}\]is [AI CBSE 1990]
question_answer5) The solution of the differential equation \[(3xy+{{y}^{2}})dx+({{x}^{2}}+xy)dy=0\] is [AISSE 1990]
question_answer6) The solution of the differential equation \[x\,dy-y\,dx=(\sqrt{{{x}^{2}}+{{y}^{2}})}dx\]is
question_answer7) The general solution of the differential equation \[(x+y)dx+xdy=0\] is [MP PET 1994, 95]
question_answer8) The solution of the differential equation \[x+y\frac{dy}{dx}=2y\] is
question_answer9) The solution of the differential equation \[\frac{dy}{dx}=\frac{xy}{{{x}^{2}}+{{y}^{2}}}\]is
question_answer10) The solution of the equation \[\frac{dy}{dx}=\frac{x}{2y-x}\]is
question_answer11) The solution of the equation \[\frac{dy}{dx}=\frac{y}{x}\left( \log \frac{y}{x}+1 \right)\] is
question_answer12) Solution of differential equation \[\frac{dy}{dx}=\frac{y-x}{y+x}\]is [MP PET 1997]
question_answer13) If \[{y}'=\frac{x-y}{x+y}\], then its solution is [MP PET 2000]
question_answer14) The general solution of the differential equation \[(2x-y+1)dx+(2y-x+1)dy=0\] is [Karnataka CET 2005]
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