Comprehension

निर्देश : निम्नलिखित प्रश्नों के लिए निम्नलिखित पर विचार करें:

माना ydx + (x - y3)dy = 0 एक अवकल समीकरण है।

अवकल समीकरण का क्रम और कोटि क्रमशः क्या हैं?

This question was previously asked in
NDA-II 2024 (Maths) Official Paper (Held On: 01 Sept, 2024)
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  1. 1 और 1
  2. 1 और 2
  3. 2 और 1
  4. 1 और 3

Answer (Detailed Solution Below)

Option 1 : 1 और 1
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व्याख्या:

मान लीजिये ydx + (x - y3 ) dy = 0 एक अवकल समीकरण है।

तब, dy/dx = \(\frac{y}{y^3-x}\)

इस प्रकार, कोटि = 1

∴ विकल्प (a) सही है

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