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Differential Equations — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDifferential Equations1 Mark
MCQ
Choose the correct answer from the given four options.The order and degree of the differential equation $\Big(\frac{\text{d}^3\text{y}}{\text{d}\text{x}^3}\Big)^2-3\frac{\text{d}^2\text{y}}{\text{d}\text{x}^2}+2\Big(\frac{\text{d}\text{y}}{\text{d}\text{x}}\Big)^4=\text{y}^4$ are:
  • A
    $1, 4.$
  • B
    $3, 4.$
  • C
    $2, 4.$
  • ✓
    $3, 2.$
✓

Answer

Correct option: D.
$3, 2.$
Given that $\Big(\frac{\text{d}^3\text{y}}{\text{d}\text{x}^3}\Big)^2-3\frac{\text{d}^2\text{y}}{\text{d}\text{x}^2}+2\Big(\frac{\text{d}\text{y}}{\text{d}\text{x}}\Big)^4=\text{y}^4$
$\therefore$ Order$=3$ and degree$=2$

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