InterviewSolution
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InterviewSolution
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हल कीजिए- `(dy)/(dx)+y tan x=x^(m)cos x.` |
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Answer» दिया हुआ अवकल समीकरण है- `(dy)/(dx) +y tan x = x^(m) cos x" "...(1)` `P =tan x` और `Q=x^(m) cos x.` `therefore I. F. =e ^(int tan x dx)=e ^(log |sec x|)=sec x` अतः अभीष्ट हल है- `y. (I. F.)= int Q . (I. F) dx+C` `impliesy. sec x = intQ. (I. F. ) dx+C` `impliesy. sec x = int x^(m) cos x. sec x dx +C` `impliesy sec x = int x^(m) dx+C` `implies y sec x = (x ^(m+1))/(m+1) +C.` |
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