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9. differential equations — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths9. differential equations1 Mark
MCQ
Which of the following equation is non-linear
  • A
    $\frac{{dy}}{{dx}} + \frac{y}{x} = \log x$
  • ✓
    $y\frac{{dy}}{{dx}} + 4x = 0$
  • C
    $dx + dy = 0$
  • D
    $\frac{{dy}}{{dx}} = \cos x$
✓

Answer

Correct option: B.
$y\frac{{dy}}{{dx}} + 4x = 0$
b
(b) A differential equation in which the dependent variable and its differential coefficient occur only in the first degree and are not multiplied together is called a linear differential equation.

Hence $y\frac{{dy}}{{dx}} + 4x = 0$  is non-linear differential equation.

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