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22. Differential Equations
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Q5 of 462 Page 22

Write the differential equation obtained by eliminating the arbitrary constant C in the equation x2 – y2 = C2.

We are given


x2 – y2 = C2


Differentiating w.r.t x we get,



is the required differential equation.


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4

Write the differential equation representing the family of straight lines y = Cx + 5, where C is an arbitrary constant.

4

Write the differential equation representing the family of straight lines y = Cx + 5, where C is an arbitrary constant.

5

Write the differential equation obtained by eliminating the arbitrary constant C in the equation x2 – y2 = C2.

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Write the differential equation obtained eliminating the arbitrary constant C in the equation xy = C2.

Questions · 462
22. Differential Equations
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