Saved Bookmarks
| 1. |
The solution of the DE ` (dy )/(dx) + sqrt ((1 -y ^(2))/( 1- x ^(2))) = 0 ` isA. `"sin"^(-1)x."sin"^(-1)y=C`B. `"sin"^(-1)x=C"sin"^(-1)y`C. `"sin"^(-1)x-"sin"^(-1)y=C`D. `"sin"^(-1)x+"sin"^(-1)y=C` |
|
Answer» Correct Answer - D We have `(dy)/(dx) +sqrt(1-y^(2))/(sqrt(1-x^(2))) = 0` `(dy)/(dx) =-sqrt(1-y^(2))/(1-x^(2))` `int (dy)/(sqrt(1-y^(2)))=-int (dx)/(sqrt(1-x^(2)))` `"sin"^(-1) "("xsqrt(1-y^(2))+ysqrt(1-x^(2))")"=C` `xsqrt(1-y^(2))+ysqrt(1-x^(2))=C` |
|