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অন্তরকলজ সমীকরণ  এর সমাকল উৎপাদকটি কত? (y≠ 0)

  2. y2
  3. y

Answer (Detailed Solution Below)

Option 1 :
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ধারণা:

সমাকল উৎপাদক, (IF) একটি অন্তরকলজ সমীকরণ  এর জন্য, যেখানে P এবং Q-কে y-এর অবিচ্ছিন্ন ফলাফল হিসাবে দেওয়া হয়েছে।

IF =  

গণনা:

প্রদত্ত সমীকরণটিকে এইভাবে সরলীকৃত করা যেতে পারে,

আদর্শ সমীকরণ  এর সাথে সমীকরণ ( i ) এর তুলনা করলে , আমরা পাই,

P =  and Q = 

 ∴ IF =  =  

⇒ IF =  =   

⇒ IF =  .  ( ∵  ) 

সঠিক বিকল্প হল 1

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