Answer:
9 1/3
Step-by-step explanation:
That is wrong i tried to answer it but messed up so don't use it
Answer:
- The general solution is

- The error in the approximations to y(0.2), y(0.6), and y(1):



Step-by-step explanation:
<em>Point a:</em>
The Euler's method states that:
where 
We have that
,
,
, 
- We need to find
for
, when
,
using the Euler's method.
So you need to:




- We need to find
for
, when
,
using the Euler's method.
So you need to:




The Euler's Method is detailed in the following table.
<em>Point b:</em>
To find the general solution of
you need to:
Rewrite in the form of a first order separable ODE:

Integrate each side:



We know the initial condition y(0) = 3, we are going to use it to find the value of 

So we have:

Solving for <em>y</em> we get:

<em>Point c:</em>
To compute the error in the approximations y(0.2), y(0.6), and y(1) you need to:
Find the values y(0.2), y(0.6), and y(1) using 



Next, where
are from the table.



The percent decrease is 80% or 80 percent
a.) 0.3 = 3/10 b.)5 1/3 = 16/3 c.)0 = 0/1 d.)73 = 73/1 e.)-0.21 = -21/100 Cheers, Stan H.
0.3
2 7/8
-5
16