Determine by inspection at least two solutions of the given

lenlifiauw2

lenlifiauw2

Answered question

2021-11-14

Determine by inspection at least two solutions of the given first-order IVP
y=3y23, y(0)=0

Answer & Explanation

Julie Mathew

Julie Mathew

Beginner2021-11-15Added 15 answers

We have
y=3y23 with initial value problen y(0)=0 and want to find at least 2 solutions by inspection
It is very easy to see that y=0 would be a simple solution so we need to find more
from the initial value problem we can see that the solution could have the form
y=c1xc2
assuming c1=1 this simplifies to y=c1xc2
if we also taken into account the fact that if we derive this equation we should have
y=3y23
it is easy to see that a second solution are is y=x3

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