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question_answer1) The solution of the differential equation \[x\frac{{{d}^{2}}y}{d{{x}^{2}}}=1\], given that \[y=1,\ \frac{dy}{dx}=0\]when \[x=1\], is
question_answer2) The solution of the differential equation \[\frac{{{d}^{2}}y}{d{{x}^{2}}}=-\frac{1}{{{x}^{2}}}\] is [MP PET 2003]
question_answer3) The solution of the differential equation \[{{\cos }^{2}}x\frac{{{d}^{2}}y}{d{{x}^{2}}}=1\] is
question_answer4) The solution of \[\frac{{{d}^{2}}y}{d{{x}^{2}}}={{\sec }^{2}}x+x{{e}^{x}}\]is [DSSE 1985]
question_answer5) If \[\frac{{{d}^{2}}y}{d{{x}^{2}}}=0,\] then [UPSEAT 1999]
question_answer6) If \[\frac{{{d}^{2}}y}{d{{x}^{2}}}+\sin x=0,\] then solution of the differential equation is. [Pb. CET 2001]
question_answer7) The solution of the equation \[\frac{{{d}^{2}}y}{d{{x}^{2}}}={{e}^{-2x}}\] is [AIEEE 2002]
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