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DIFFERENTIAL EQUATIONS — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDIFFERENTIAL EQUATIONS1 Mark
Question
The differential equation of all parabolas whose axes are parallel to y-axis is:
  1. $\frac{\text{dy}}{\text{dx}}=-\frac{\text{c}^2}{\text{x}^2}$
  2. $\frac{\text{d}^2\text{x}}{\text{dy}^2}=\text{c}$
  3. $\frac{\text{d}^3\text{y}}{\text{dx}^3}+\frac{\text{d}^2\text{x}}{\text{dy}^2}=0$
  4. $\frac{\text{d}^2\text{y}}{\text{dx}^2}+2\frac{\text{dy}}{\text{dx}}=0$
✓

Answer

  1. $\frac{\text{dy}}{\text{dx}}=-\frac{\text{c}^2}{\text{x}^2}$

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