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Differential Equations — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDifferential Equations1 Mark
MCQ
Which of the following is a second order differential equation?
  • A
    $\left(y^{\prime}\right)^2+x=y^2$
  • ✓
    $y^{\prime} y^{\prime \prime}+y=\sin x$
  • C
    $y^{\prime \prime \prime}+\left(y^{\prime \prime}\right)^2+y=0$
  • D
    $y^{\prime}=y^2$
✓

Answer

Correct option: B.
$y^{\prime} y^{\prime \prime}+y=\sin x$
(b) : (a) $\left(\frac{d y}{d x}\right)^2+x=y^2$; order $=1$
(b) $\left(\frac{d y}{d x}\right)\left(\frac{d^2 y}{d x^2}\right)+y=\sin x ;$ order $=2$
(c) $\frac{d^3 y}{d x^3}+\left(\frac{d^2 y}{d x^2}\right)^2+y=0 ;$ order $=3$
(d) $\frac{d y}{d x}=y^2 ;$ order $=1$

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Match List $I$ with List $II$ and select the correct answer using the code given below the lists :

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