Q. 3 D5.0( 2 Votes )

Form the differential equation from the following primitives where constants are arbitrary:

y = ax2 + bx + c

Answer :

As the given equation has 3 different arbitrary constants so we can differentiate it thrice with respect to x

So, differentiating once with respect to x,

Differentiating twice with respect to x,

Now, differentiating thrice with respect to x we get,

Hence, is the differential equation corresponding to

y = ax2 + bx + c.

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