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Differential Equations — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsDifferential Equations1 Mark
MCQ
A homogeneous dofferential equation of the from $\frac{\text{dx}}{\text{dy}}=\text{h}(\frac{\text{x}}{\text{y}})$ can be solved by making the substitution:
  • A
    $y = vx$
  • B
    $v = yx$
  • ✓
    $x = vy$
  • D
    $x = v$
✓

Answer

Correct option: C.
$x = vy$
A homogeneous differential of the from $\frac{\text{dx}}{\text{dy}}=\text{h}(\frac{\text{x}}{\text{y}})$ can be solved by sunstituting $x = vy.$

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