अवकल समीकरण">  का समाकलन कारक क्या है? (y ≠ 0)

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  1. y2
  2. y

Answer (Detailed Solution Below)

Option 1 :
Free
NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

Detailed Solution

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संकल्पना:

समाकलन कारक, (IF) अवकल समीकरण, , के लिए जहां P और Q को y का सतत फलन दिया जाता है।

 IF = 

गणना:

दिए गए समीकरण को निम्न प्रकार सरल बनाया जा सकता है,

मानक समीकरण के साथ समीकरणों की तुलना करने पर, हम प्राप्त करते हैं,

P =  और Q = 

 ∴ IF =  = 

⇒ IF =  = 

IF =  .  (∵ )

सही विकल्प 1 है।

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