Differential Equations · JEE Main previous year questions

2002 2 questions

1. Q332002 · 27 Apr 2002 · Shift 1

   The order and degree of the differential equation ${\left(1+3\frac{dy}{dx}\right)}^{2/3}=4\frac{d^{3}y}{d{x}^3}$ are

   1. A.$\left(1,\frac{2}{3}\right)$
   2. B.$(3,1)$
   3. C.$(3,3)$
   4. D.$(1,2)$
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   Answer: C

2. Q342002 · 27 Apr 2002 · Shift 1

   The solution of the equation $\frac{d^{2}y}{d{x}^2}=e^{-2x}$

   1. A.$\frac{e^{-2x}}{4}$
   2. B.$\frac{e^{-2x}}{4}+cx+d$
   3. C.$\frac{1}{4}{e}^{-2x}+c{x}^2+d$
   4. D.$\frac{1}{4}{e}^{-4x}+cx+d$
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   Answer: B