Question
Download Solution PDFअवकल समीकरण \(\rm y \frac {dy}{dx} \) = x + 1 का समाधान _____ है।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFगणना:
दिया गया है कि: \(\rm y \frac {dy}{dx} = x + 1\)
⇒ ydy = (x + 1) dx
दोनों पक्षों का समाकलन करने पर, हमें मिलता है
⇒ ∫ ydy = ∫ (x + 1) dx
⇒ \(\rm \frac {y^2}{2} = \rm \frac {x^2}{2} + x + c \)
⇒ y 2 = x 2 + 2x + 2c
∴ y2 - x2 - 2x - c = 0
Last updated on Jun 11, 2025
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