Exercise 28 Solve each of the following differential equations using the integrating factor ap- proach (regardless of whether they are solvable by other means) to render them exact: a. 2x dy + y(1+x) dx = 0; b. cos(x - y) y' - cos(x - y) - sin(x - y) = 0; y² 2 c. (y+e) y' + 2ye™ + d. (y + x) y' + (y - 1) X = 0; +2+e=0.
Exercise 28 Solve each of the following differential equations using the integrating factor ap- proach (regardless of whether they are solvable by other means) to render them exact: a. 2x dy + y(1+x) dx = 0; b. cos(x - y) y' - cos(x - y) - sin(x - y) = 0; y² 2 c. (y+e) y' + 2ye™ + d. (y + x) y' + (y - 1) X = 0; +2+e=0.
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.CR: Chapter 11 Review
Problem 8CR
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help with part C
Transcribed Image Text:Exercise 28 Solve each of the following differential equations using the integrating factor ap-
proach (regardless of whether they are solvable by other means) to render them exact:
a. 2x dy + y(1+x) dx = 0;
b. cos(x - y) y' - cos(x - y) - sin(x - y) = 0;
y²
2
c. (y+e) y' + 2ye™ +
d. (y + x) y' +
(y - 1)
X
= 0;
+2+e=0.
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