Question 105Asked in BPSC TRE 3.0 (2024) Mathematics Class 11-12

General solution of equation y = px + p², where p = dy/dx, isसमीकरण y = px + p², जहाँ p = dy/dx, का व्यापक हल है

समीकरण y = px + p², जहाँ p = dy/dx, का व्यापक हल है
  1. Ay = cx + 2cy = cx + 2c
  2. By = cx + c²y = cx + c²
  3. Cy = x² + cy = x² + c
  4. DMore than one of the aboveउपर्युक्त में से एक से अधिक
  5. ENone of the aboveउपर्युक्त में से कोई नहीं
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Correct answer: (B) y = cx + c²y = cx + c²

Explanation

y = px + f(p) is Clairaut's equation, whose general solution is obtained by replacing p with an arbitrary constant c: y = cx + c².y = px + f(p) क्लेरो समीकरण है, जिसका व्यापक हल p के स्थान पर स्वेच्छ अचर c रखने से मिलता है: y = cx + c²।

From BPSC TRE 3.0 (2024) Mathematics Class 11-12 — Previous Year Paper

This is question 105 of BPSC TRE 3.0 (2024) Mathematics Class 11-12 — Previous Year Paper. See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.