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Specific solution of diff eq, no initial value

  • Thread starter cowmoo32
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  • #1
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Homework Statement


Consider the differential equation
059b0fc5ef0cd85a055fc8a05eef301.png


Find a general solution to this differential equation that has the form
c1403c12bfdafbad58b32041c1e5381.png

.
.
.
y = Cx3

Find a second solution
c1403c12bfdafbad58b32041c1e5381.png
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.
 
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Answers and Replies

  • #2
LCKurtz
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I'm guessing ##y=0## isn't what is being wanted here although it is a solution.

Question: Is ##y = |x|^3## a solution?
 
  • #3
HallsofIvy
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Why would you guess that? [tex]y= 0x^n[/tex] is a solution for any n.
 
  • #4
LCKurtz
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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? [tex]y= 0x^n[/tex] 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##.
 
  • #5
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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 n


edit: 0x^n was it! Thanks!
 

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