Question

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

Answer 1

Derive with respect to x?

But you're not allowed C1 and C2 in your final answer?

Answer 2

Alright, hacks since I don't actually get the question:

Derive with respect to x.

Derive with respect to x.

Integrate.

Done!

Answer 3

what will be the answer

Answer 4

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

Answer 5

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

Answer 6

fair enough!