Exercise: Determine whether the given differential equation is exact then find the solution of the given equation. 1. (2x – 1)dx + (3y + 7)dy = 0 3 a. x² +y2 + y = c C. x2 – x +y² + 7y = c 3 b. The equation is not exact d. 2x2 – 4x +÷y² +6y = c 2. (2x + y)dx – (x + 6y)dy = 0 - r? - 1 a. x² + 4xy – 2y4 = c C. x2 – 3 - y² – 4y = c 3 b. The equation is not exact d. x2 – x +y² + 7y = c
Exercise: Determine whether the given differential equation is exact then find the solution of the given equation. 1. (2x – 1)dx + (3y + 7)dy = 0 3 a. x² +y2 + y = c C. x2 – x +y² + 7y = c 3 b. The equation is not exact d. 2x2 – 4x +÷y² +6y = c 2. (2x + y)dx – (x + 6y)dy = 0 - r? - 1 a. x² + 4xy – 2y4 = c C. x2 – 3 - y² – 4y = c 3 b. The equation is not exact d. x2 – x +y² + 7y = c
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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Transcribed Image Text:Exercise:
Determine whether the given differential equation is exact
then find the solution of the given equation.
1. (2x – 1)dx + (3y + 7)dy = 0
3
a. x² +y2 + y = c
C. x2 – x +y² + 7y = c
3
b. The equation is not exact
d. 2x2 – 4x +÷y² +6y = c
2. (2x + y)dx – (x + 6y)dy = 0
-
1
a.
x² + 4xy – 2y4 = c
C. x? -
y² – 4y = c
3
3
b. The equation is not exact
d. x2 – x +y² + 7y = c
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