Form the differential equation of all parabolas which have 4b as latus rectum and whose axis is parallel to th

Miscellaneous Exercise 6(II) · Q127

4b

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Parabolas with $4b$ as latus rectum ( $b$ fixed) and axis parallel to the Y-axis: $(x-h)^2=4b(y-k)$ , $h,k$ arbitrary. Differentiate: $2(x-h)=4b\dfrac{dy}{dx}$ . Differentiate again: $2=4b\dfrac{d^2y}{dx^2}$ , i.e. $2b\df …

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Q.Form the differential equation of all parabolas which have $4b$ as latus rectum and whose axis is parallel to the Y-axis.

Concept understanding — Formation of a Differential Equation whose General Solution is Given

Q.Form the differential equation of all parabolas which have 4b4b4b as latus rectum and whose axis is parallel to the Y-axis.

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Q.Form the differential equation of all parabolas which have $4b$ as latus rectum and whose axis is parallel to the Y-axis.

Unlock everything free for 14 days