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Differential Equations — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDifferential Equations1 Mark
MCQ
The differential equation having solution as $y=17 e^x+a e^{-x}$ is
  • A
    $y^{\prime \prime}-x=0$
  • ✓
    $y^{\prime \prime}-y=0$
  • C
    $y^{\prime}-y=0$
  • D
    $y^{\prime}-x=0$
✓

Answer

Correct option: B.
$y^{\prime \prime}-y=0$
(b): We have, $y=17 e^x+a e^{-x} \Rightarrow y^{\prime}=17 e^x-a e^{-x}$
$
\Rightarrow y^{\prime \prime}=17 e^x+a e^{-x} \Rightarrow y^{\prime \prime}=y \Rightarrow y^{\prime \prime}-y=0
$

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