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9. differential equations — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths9. differential equations1 Mark
MCQ
The differential equation ${\left( {\frac{{{d^2}y}}{{d{x^2}}}} \right)^2} - {\left( {\frac{{dy}}{{dx}}} \right)^{1/2}} = {y^3}$ has the degree
  • A
    $1/2$
  • B
    $2$
  • C
    $3$
  • ✓
    $4$
✓

Answer

Correct option: D.
$4$
d
(d) From the given equation, ${\left( {{{\left( {\frac{{{d^2}y}}{{d{x^2}}}} \right)}^2} - {y^3}} \right)^2} = \frac{{dy}}{{dx}}$.
Hence, it is obvious from the equation that degree is $4$.

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