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NDA 2013
Exam
NDA
Year
2013
Subject
Mathematics
Chapter
Differential Equations

NDA 2013 · Mathematics · Differential Equations

The general solution of the differential equation ((d y)/(d x))+x=0...

The general solution of the differential equation ln⁡(dydx)+x=0\ln \left(\frac{d y}{d x}\right)+x=0 is

Options

  1. Ay=e−x+cy=e^{-x}+c
  2. By=−e−x+cy=-e^{-x}+c
  3. Cy=ex+cy=e^x+\mathrm{c}
  4. Dy=−ex+cy=-e^x+c

Correct answer

B. y=−e−x+cy=-e^{-x}+c

Step-by-step solution

dydx=e−xy=−e−x+c\begin{gathered}\frac{d y}{d x}=e^{-x} \\ y=-e^{-x}+c\end{gathered}
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