InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
`x(dy)/(dx)+y-x+xycotx=0(x ne 0)` |
|
Answer» `x(dy)/(dx)+y-x+xycotx=0` `implies(dy)/(dx)+y((1)/(x)+cotx)=1` यहाँ, `P=(1)/(x)+cotx` तथा `Q = 1` `therefore I.F. =e^(intPdx)=e^(int((1)/(x)+cotx)dx)` `=e^(logx)+logsinx` `=e^(log(xsinx))=xsinx` और व्यापक हल : `y.(xsinx)=int1.xsinxdx+c=x(-cosx)` `-int1.(-cosx)dx+c` `impliesxysinx=-xcosx+sinx+c` |
|