Question
Download Solution PDFअवकल समीकरण x2 dy + y2 dx = 0 का सामान्य हल क्या है?
जहाँ c समाकलन का स्थिरांक है।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
गणना:
दिया गया है:
x2dy + y2dx = 0
⇒ x2dy = -y2dx
दोनों पक्षों का समाकलन करने पर, हमें निम्न प्राप्त होता है
यहाँ c अवकलन स्थिरांक है, -c = 1/c लेने पर (क्योंकि 1/c भी एक स्थिरांक है)
⇒ c(x + y) = xy
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