Question
Download Solution PDFdy = ex + 2y dx , y (0) = 0 প্রাথমিক মানের সমস্যাটি সমাধান করুন?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFঅনুসৃত ধারণা:
ln e y = y ।
গণনা:
আমাদের আছে ,
dy = ex + 2y dx
⇒ dy = ex . e2y dx
⇒ e-2y dy = ex dx
উভয় পক্ষকে একীভূত করার সময়, আমরা পাই
এটি প্রদত্ত যে y (0) = 0 , অর্থাৎ x = 0 , y = 0 এ, এটিকে (i) এ রাখলে,
⇒ C =
(i) C-এ =
⇒ e-2y = - 2ex + 3
⇒ e2y =
⇒ 2y = ln
⇒ y =
সঠিক বিকল্প হল 3
Last updated on Jun 20, 2025
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