by eliminating the constant C1 and C2, find the differential equation of the following family curve
y=C1x + C2x^2

Question

by eliminating the constant C1 and C2, find the differential equation of the following family curve
y=C1x + C2x^2

anonymous · Answer

Derive with respect to x?

But you're not allowed C1 and C2 in your final answer?

anonymous · Answer

Alright, hacks since I don't actually get the question:

Derive with respect to x.

Derive with respect to x.

Integrate.

Done!

anonymous · Answer

what will be the answer

klimenkov · Answer

$C_2=\frac{y''}2$, $C_1=y-y''x$$$y=(y−y''x)x+\frac{y''}2$$Simplify and get an answer.

klimenkov · Answer

Sorry, but i'd like @npraval to find this mistake instead of you. :)

turingtest · Answer

fair enough!