अवकल समीकरण  का सामान्य हल y(x) क्या है?

  1. cos-1 y - sin-1 x = c
  2. cos-1 y - cos-1 x = c
  3.  sin-1 y - sin-1 x = sin-1 c
  4.  sin-1 y + sin-1 x = sin-1 c

Answer (Detailed Solution Below)

Option 3 :  sin-1 y - sin-1 x = sin-1 c
Free
Electric charges and coulomb's law (Basic)
10 Qs. 10 Marks 10 Mins

Detailed Solution

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संकल्पना:

चर का अलगाव:

यदि समीकरण इस प्रकार है जिससे चरों को अलग किया जा सकता है, तो

  • चरों को अलग करना 
  • किसी भी पक्ष पर एकल चर लेना। 
  • संबंधित चर के संबंध में दोनों पक्षों का समाकलन करना। 

गणना:

दिया गया अवकल समीकरण

  है। 

दोनों पक्षों का समाकलन करने पर, हमें निम्न प्राप्त होता है

⇒ sin-1 y = sin-1x + c

⇒ sin-1 y = sin-1 x + sin-1 c

⇒ sin-1 y - sin-1 x = sin-1 c

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