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.
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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help with part C
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8e0ad34-47bd-4edd-8e64-7fbb4be3cef6%2Fff4e321c-7cec-4d28-b226-2c4201514508%2F42miogj_processed.png&w=3840&q=75)
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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