Which of the following equations are linear ordinary differential equations? 1. 7x² + yx = 0 2. 7x' + sin² (y)x + x = 0 = 0 3. 3 əv² მერ dy ?х 4. 17. 。。。。。。。 5. 3d²v dz² +50v² dy² It +5vx³ Equation 2 Equation 5 Equations 1 and 2 = 0 Equations 1 and 5 = 0 Equations 2 and 4 Equations 1,2 and 4 Equation 4 Equations 1,2 and 5 Equation 3 Equation 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Which of the following equations are linear ordinary differential equations?
1. 7x' + yx:
-
0
2.
7x' + sin² (y)x + x = 0
+5.
0
3.
3 Dv²
dx²
4. 17 y - 2-
dr
d²v
5. 3 +5vx³
dx²
Equation 2
Equation 5
Ôv²
dy²
Əy
Equations 1 and 2
Equations 1 and 5
-
Equations 2 and 4
Equations 1,2 and 4
Equation 4
Equations 1,2 and 5
Equation 3
Equation 1
0
0
Transcribed Image Text:Which of the following equations are linear ordinary differential equations? 1. 7x' + yx: - 0 2. 7x' + sin² (y)x + x = 0 +5. 0 3. 3 Dv² dx² 4. 17 y - 2- dr d²v 5. 3 +5vx³ dx² Equation 2 Equation 5 Ôv² dy² Əy Equations 1 and 2 Equations 1 and 5 - Equations 2 and 4 Equations 1,2 and 4 Equation 4 Equations 1,2 and 5 Equation 3 Equation 1 0 0
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