6) A student buys a classical estate at K30. However the value of the estate is known to change. According to the following differential equation. dy 4+ y = 12 dt a) Find the time path of the value of the estate b) If he auctions the estate at exactly t = 5, what should be the reservation price? 7) Tet for the exactness of following the differential equation and find general solution by an appropriate technique. 4yt³ dy + 6y6² t² = 0 dt

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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6) A student buys a classical estate at K30. However the value of the estate is known
to change. According to the following differential equation.
dy
4+ y = 12
dt
a) Find the time path of the value of the estate
b) If he auctions the estate at exactly t = 5, what should be the reservation
price?
7) Tet for the exactness of following the differential equation and find general solution
by an appropriate technique.
dy
dt
4yt 3.
+6y6² t² = 0
Transcribed Image Text:6) A student buys a classical estate at K30. However the value of the estate is known to change. According to the following differential equation. dy 4+ y = 12 dt a) Find the time path of the value of the estate b) If he auctions the estate at exactly t = 5, what should be the reservation price? 7) Tet for the exactness of following the differential equation and find general solution by an appropriate technique. dy dt 4yt 3. +6y6² t² = 0
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