InterviewSolution
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InterviewSolution
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हल कीजिए- `(dy)/(dx)+sqrt((1-y^(2))/(1-x^(2)))=0` |
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Answer» दिया गया अवकल समीकरण है- `(dy)/(dx) +sqrt((1-y^(2))/(1-x^(2)))=0` `implies(dy)/(dx) =-(sqrt(1-y^(2)))/(sqrt(1- x^(2)))` `implies(1)/(sqrt(1-y^(2)))dy=-(1)/(sqrt(1- x^(2)))dx,` समाकलन करने पर, `int (1)/(sqrt(1-y^(2)))dy=-int (1)/(sqrt(1-x^(2)))dx,` `impliessin ^(-1)y=-sin ^(-1) x+sin ^(-1)C` `implies sin ^(-1)x+sin ^(-1)y=sin ^(-1)C` `implies{sin ^(-1)xsqrt(1-y^(2))+ysqrt(1-x^(2))}=sin ^(-1)C` `impliesxsqrt(1- y^(2))+sqrt(1-x^(2))=C` |
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