MHT CET · Maths · Differential Equations
The differential equation representing the family of parabolas having vertex at the origin and axis along the positive Y-axis is
- A \(x \frac{\mathrm{dy}}{\mathrm{~d} x}-2 \mathrm{y}=0\)
- B \(\frac{\mathrm{dy}}{\mathrm{~d} x}+x \mathrm{y}=0\)
- C \(x \frac{\mathrm{dy}}{\mathrm{~d} x}+\mathrm{y}=0\)
- D \(x^2 \frac{\mathrm{dy}}{\mathrm{~d} x}+\mathrm{y}=0\)
Answer & Solution
Correct Answer
(A) \(x \frac{\mathrm{dy}}{\mathrm{~d} x}-2 \mathrm{y}=0\)
Step-by-step Solution
Detailed explanation
\(x^2 = 4ay\) \(2x = 4a \frac{\mathrm{dy}}{\mathrm{d}x}\)
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