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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 linear
  • A
    ${\left( {\frac{{{d^2}y}}{{d{x^2}}}} \right)^{^2}} + {x^2}{\left( {\frac{{dy}}{{dx}}} \right)^2} = 0$
  • B
    $y = \frac{{dy}}{{dx}} + \sqrt {1 + {{\left( {\frac{{dy}}{{dx}}} \right)}^2}} $
  • ✓
    $\frac{{dy}}{{dx}} + \frac{y}{x} = \log x$
  • D
    $y\frac{{dy}}{{dx}} - 4 = x$
✓

Answer

Correct option: C.
$\frac{{dy}}{{dx}} + \frac{y}{x} = \log x$
c
(c)$\frac{{dy}}{{dx}} + \frac{y}{x} = \log x$ is a linear differential equation.

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