InterviewSolution
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InterviewSolution
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हल कीजिए- `(x-y) (dx+dy)=dx-dy,y(0)=-1.` |
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Answer» यहाँ `(x-y)(dx+dy)=dx -dy` `implies dx+dy=(dx-dy)/(x-y)` `implies d(x+y)(d(x-y))/(x-y)" "...(1)` समी (1 ) में `x +y =u ` और `x -y =v ,` रखने पर, `du=(dv)/(v)` समाकलन करने पर, `int du =int (dv)/(v)` `implies u+C =log |v|` `implieslog |x-y|=x+y+C" "...(2)` दिया है `y =- 1 ` जब `x =0 ` समी (2 ) में, `x =0 ` और `y =- 1 ` रखने पर, `log 1=0 -1+CimpliesC=1," "[becauselog 1=0]` समी (2) में, `C =1 ` रखने पर, `log|x-y| =x+y+1` `implies x-y=e^(x+y+1)` |
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