1.

From a differential equation representing the given family of curves by eliminating the arbitrary constains a and b x/a + y/b = 1

Answer»

Solution :GIVEN equation is x/a + y/b = 1......(i),
DIFFERENTIATING (1), w.r.t. x we have `1/a + 1/b(dy)/(DX) = 0..(2)
Differentiating (2) , w.r.t. x we have `1/b (d^2y)/(dx^2) = 0 `
`rArr (d^2y)/(dx^2) = 0`, which is the required differential equation.


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