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1. The differential equation dy cos(r + y) %3D dx cos(r - y) may be classified as a. Homogeneous b. Exact c. Linear d. Exact and Homogeneous

1. The differential equation dy cos(r + y) %3D dx cos(r - y) may be classified as a. Homogeneous b. Exact c. Linear d. Exact and Homogeneous

Calculus For The Life Sciences
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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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
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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