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Express the following differential equations in the form (dy)/(dx) = F((y)/(x)). (i) xdy - ydx = sqrt(x^(2) + y^(2))dx (ii) [x - y Tan^(-1)((y)/(x))] dx + x Tan^(-1)((y)/(x)) dy = 0 (iii) xdy = y(log y - log x+1)dx |
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Answer» `(dy)/(dx) = ((y)/(x) Tan^(-1)((y)/(x))-1)/(Tan^(-1)((y)/(x)))` (III) `(dy)/(dx) = (y)/(x)[log((y)/(x))+1]` |
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