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NDA 2014
Exam
NDA
Year
2014
Subject
Mathematics
Chapter
Differential Equations

NDA 2014 · Mathematics · Differential Equations

What is the solution of (d y)/(d x)+2 y=1 satisfying y(0)=0 ?

What is the solution of dydx+2y=1\frac{d y}{d x}+2 y=1 satisfying y(0)=0y(0)=0 ?

Options

  1. Ay=1−e−2x2y=\frac{1-e^{-2 x}}{2}
  2. By=1+e−2x2y=\frac{1+e^{-2 x}}{2}
  3. Cy=1+exy=1+e^x
  4. Dy=1+ex2y=\frac{1+e^x}{2}

Correct answer

A. y=1−e−2x2y=\frac{1-e^{-2 x}}{2}

Step-by-step solution

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