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if ax^2+2hxy+by^2=1 then prove thatd2y/dx2=h^2-ab/(hx+by)^3

if ax^2+2hxy+by^2=1 then prove thatd2y/dx2=h^2-ab/(hx+by)^3

Grade:12

1 Answers

Arun
25750 Points
5 years ago
Dear student
 
2ax+ 2h y + 2hx dy/dx + 2 by dy/dx = 0
 
2a + 2h dy/dx + 2hx d2y /dx2 + 2 h dy/dx + 2 b(dy/dx)2 + 2by d2y /dx2 = 0
 
now you justhave to simplify here

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