From the differential equations provided, identify the pure time differential equation and the differential equation autonomous: a. y' = y2 – y* = e=*Vx c. y' = x²y* dN b. %3D dt
From the differential equations provided, identify the pure time differential equation and the differential equation autonomous: a. y' = y2 – y* = e=*Vx c. y' = x²y* dN b. %3D dt
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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give ans only of 2nd question and yes all three sub parts of 2nd
![2- From the differential equations provided, identify the pure time differential equation and the
differential equation autonomous:
a. y' = y² – y*
dN
b.
dt
c. y' = x²y+
3- Determine the equilibrium points and stability of each of the functions that satisfy the
dy
%3D у(у — 10)(у — 20)
dx
differential equation:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0edc2e10-e138-4408-99a1-d38f31b8a70d%2F166d0451-4b91-44f2-a698-31f83ae15a07%2Fbf1nyjw_processed.png&w=3840&q=75)
Transcribed Image Text:2- From the differential equations provided, identify the pure time differential equation and the
differential equation autonomous:
a. y' = y² – y*
dN
b.
dt
c. y' = x²y+
3- Determine the equilibrium points and stability of each of the functions that satisfy the
dy
%3D у(у — 10)(у — 20)
dx
differential equation:
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