Obtain the differential equation of the family of plane curves described and sketch several representative members of the family. 1. Straight lines through the fixed point (h, k). Ans. (y -k)dx-(x-h)dy= 0 2. Straight lines with slope and x-intercept equal. Ans. (y’)^2 = xy'- y

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Obtain the differential equation of the family of plane curves described and sketch several representative members of the family. 1. Straight lines through the fixed point (h, k). Ans. (y -k)dx-(x-h)dy= 0 2. Straight lines with slope and x-intercept equal. Ans. (y’)^2 = xy'- y
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