Specific solution of diff eq, no initial value

[cowmoo32]

Homework Statement

Consider the differential equation

Find a general solution to this differential equation that has the form

.
.
.
y = Cx³

Find a second solution

that might not be a general solution and which may have a different value of n than your first solution.

The Attempt at a Solution

I solved the first part of the problem
y = Cx³

But am at a complete loss for how to find a second explicit solution without being given an initial value.

 

[LCKurtz]

I'm guessing $y=0$ isn't what is being wanted here although it is a solution.

Question: Is $y = |x|^3$ a solution?

 

[HallsofIvy]

Why would you guess that? $$y= 0x^n$$ is a solution for any n.

 

[LCKurtz]

I'm guessing $y=0$ isn't what is being wanted here although it is a solution.

Question: Is $y = |x|^3$ a solution?

Why would you guess that? $$y= 0x^n$$ is a solution for any n.

Are you addressing me? Yes, I know it is a solution for any n, as I said. But, given the poor wording of the question, I thought they might be looking for the more interesting $y = |x|^3$.

 

[cowmoo32]

I've tried y=0 and y=e^c(x^3), I'll see if it accepts y=0x^n but I think they're looking for a specific nedit: 0x^n was it! Thanks!