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Solve the following D.E's (i) (dy)/(dx) = (3x - y + 7)/(x-7y - 3) (ii) (dy)/(dx) = (2x-y+1)/(x+2y-3) (iii) (dy)/(dx) = (-3x - 2y+5)/(2x+3y+5) (iv) (dy)/(dx) = (-3x -2y + 5)/(2x+3y-5) (v) (dy)/(dx) = -((12x + 5y - 9))/(5x + 2y - 4) (vi) 2(x-3y+1)dy = (4x-2y+1)dx |
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Answer» (ii) `X^(2) - xy - y^(2) + x + 3Y = c` (iii) `3x^(2) + 4xy + 3y^(2) - 10 x + 10 y = c` (iv) `3x^(2) + 4xy+3y^(2) - 10 x - 10y = c` (v) `6X^(2) + 5xy + y^(2) - 9x - 4Y = c` (vi) `2x^(2) - 2xy + 3y^(2) + x- 2y = k` |
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