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if the differential equation of a curve, passing through `(0,-(pi)/(4))` and `(t,0)` is `cosy((dy)/(dx)+e^(-x))+siny(e^(-x)-(dy)/(dx))=e^(e^(-x))` then find the value of `t.e^(e^(-1))` |
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Answer» Correct Answer - 1 `(dy)/(dx)(cosy-siny)+(cosy+siny)e^(-x)=e^(e^(-x))` `cosy+siny=u` `implies(du)/(dx)+e^(-x)u=e^(e^(-x))=x` `impliese^(-e^(-t))=timpliest.e^(e^(-t))=1` |
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