InterviewSolution
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InterviewSolution
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`x(dy)/(dx)-y+xsin((y)/(x))=0` |
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Answer» `x(dy)/(dx)-y+xsin.(y)/(x)=0` `implies (dy)/(dx)-(y)/(x)+sin.(y)/(x)=0` माना `y=vximplies(dy)/(dx)=v+x(dv)/(dx)` `impliesv+x(dv)/(dx)-v+sinv=0` `implies x(dv)/(dx)+sinv=0` `impliesint"cosec v dv"+int(dx)/(x)=logc` `implies log(cosec v-cotv)+logx=logc` `implies x(cosecv-cotv)=c` `implies x(1-cosv)=csinv` `implies x(1-cos.(y)/(x))=csin.(y)/(x)` |
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