Slope field for the differential equation

FratBro23
Category:
Other
Price: $5 USD

Question description

dy/dx=xy/2

a) Provide a sketch of the slope field for the differential equation.
b) Let f be the function that satisfies the given differential equation. Write an equation for the tangent line to the curve y=f(x) throughout the point (1,1). Then use that tangent line equation to estimate the value of (1,2).
c) find the particular solution y=f(x) to the differential equation with the initial condition f(1)=1. Use that solution to find f(1,2).
d) Compare your estimate of f (1,2) found in part b to the actual value of f (1,2) found in part c. Was the estimate from part b an underestimate or an overestimate? use the slope field to explain. 

Tutor Answer

(Top Tutor) Daniel C.
(997)
School: University of Maryland
PREMIUM TUTOR
Studypool has helped 1,244,100 students
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1831 tutors are online

Brown University





1271 Tutors

California Institute of Technology




2131 Tutors

Carnegie Mellon University




982 Tutors

Columbia University





1256 Tutors

Dartmouth University





2113 Tutors

Emory University





2279 Tutors

Harvard University





599 Tutors

Massachusetts Institute of Technology



2319 Tutors

New York University





1645 Tutors

Notre Dam University





1911 Tutors

Oklahoma University





2122 Tutors

Pennsylvania State University





932 Tutors

Princeton University





1211 Tutors

Stanford University





983 Tutors

University of California





1282 Tutors

Oxford University





123 Tutors

Yale University





2325 Tutors