Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 54E: Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be...
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Please solve all mcq
![4. The differential equation
cos(r + y)
cos(x – y)
dy
da
may be classified as
a. Homogeneous
b. Exact
c. Linear
d. Exact and Homogeneous
5. Consider the follow statement:
"The Euler method can be used to approrimate any ODE of the form F(x,y,y')=0"
and select only one option.
a. True for only linear functions F
b. Always true
c. Only true if we can solve for y' explicitly
d. Only true if F is linear in y
6. Consider the ODE system below
y = y? - 2, 2' = y +2.
Which of the following is true?
a. Solvable by trig substitution
b. Solvable using Euler method only if initial conditions are stated
c. RK 4 is not suitable for this system
d. Solvable using Euler method
7. Consider the ODE below
/ + ysinx = siny, y(1.5) = 1.25
One iteration of Euler method, with h 0.125, gives?
а. у(1.5) — 1
b. y(0.125) 1.27208
c. y(1.625) 1.27208
d. y(1.625) - 0.28217](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb92fd9bc-a805-4424-b01d-8fe2b9405cd7%2F28dcc5d6-8998-4f5e-a376-00e87acf2038%2Fiwv3a6i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. The differential equation
cos(r + y)
cos(x – y)
dy
da
may be classified as
a. Homogeneous
b. Exact
c. Linear
d. Exact and Homogeneous
5. Consider the follow statement:
"The Euler method can be used to approrimate any ODE of the form F(x,y,y')=0"
and select only one option.
a. True for only linear functions F
b. Always true
c. Only true if we can solve for y' explicitly
d. Only true if F is linear in y
6. Consider the ODE system below
y = y? - 2, 2' = y +2.
Which of the following is true?
a. Solvable by trig substitution
b. Solvable using Euler method only if initial conditions are stated
c. RK 4 is not suitable for this system
d. Solvable using Euler method
7. Consider the ODE below
/ + ysinx = siny, y(1.5) = 1.25
One iteration of Euler method, with h 0.125, gives?
а. у(1.5) — 1
b. y(0.125) 1.27208
c. y(1.625) 1.27208
d. y(1.625) - 0.28217
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