Hi There,
Below is an answer from one of my assignments. I am trying to understand the answer however i am stuck on the parts as listed below.
I have been through my books and online a thousand time but i just cant get my head around this. Your help will be very much appreciated!
Rearrange to the form
y? = 2x2 ? y2 (1)
and evaluate at x = 0:
y?(0) = ?y2(0) = ?4 .
Differentiate (1): How does this differentiate?
y?? = 4x ? 2yy? (2)
from where
y??(0) = ?2y(0)y?(0) = 16 .
Now differentiate (2):
y??? = 4 ? 2(y?)2 ? 2yy?? (3) And this one also?
from where
y???(0) = 4 ? 2(y?(0))2 ? 2y(0)y??(0) = ?92 .
Differentiate (3):
y???? = ?4y?y?? ? 2y?y?? ? 2yy??? (4) And again?
Below is an answer from one of my assignments. I am trying to understand the answer however i am stuck on the parts as listed below.
I have been through my books and online a thousand time but i just cant get my head around this. Your help will be very much appreciated!
Rearrange to the form
y? = 2x2 ? y2 (1)
and evaluate at x = 0:
y?(0) = ?y2(0) = ?4 .
Differentiate (1): How does this differentiate?
y?? = 4x ? 2yy? (2)
from where
y??(0) = ?2y(0)y?(0) = 16 .
Now differentiate (2):
y??? = 4 ? 2(y?)2 ? 2yy?? (3) And this one also?
from where
y???(0) = 4 ? 2(y?(0))2 ? 2y(0)y??(0) = ?92 .
Differentiate (3):
y???? = ?4y?y?? ? 2y?y?? ? 2yy??? (4) And again?
