Euler'S Method Worksheet With Answers Page 5
ADVERTISEMENT
1
2
3
4
5
6Calculus Maximus
WS 5.3: Euler’s Method
9. AP 2002-5 (No Calculator)
dy
Consider the differential equation:
2
y
4
x
.
dx
(a) The slope field for the given differential equation is provided. Sketch the solution curve that passes
through the point 0,1 and sketch the solution curve that passes through the point 0, 1 .
(b) Let f be the function that satisfies the given differential equation with the initial condition
f
0
1
.
Use Euler’s method, starting at
x
0
with a step size of 0.1 , to approximate
f
0.2
. Show the
work that leads to your answer.
(c) Find the value of b for which
y
2
x b is a solution to the given differential equation. Justify your
answer.
(d) Let g be the function that satisfies the given differential equation with the initial condition
g
0
0
. Does the graph of g have a local extremum at the point 0, 0 ? If so, is the point a local
maximum or a local minimum? Justify your answer.
Page 5 of 6
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education