dx dy + y = x , dt = 3y dt dx dy 1.

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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Question
Find the general solution to the following equations.
dy
dx
1.
+y = x,
= 3y
dt
dt
dx
2.
dy
= dt
х-у
dx
3. x dy = t dt ,
+ 2x = tx²
dt
4. (р? + хр)(ур + ху) — 0
5. ру — 2p* + 2 — 0
6. y = p sin p + cos p
Transcribed Image Text:Find the general solution to the following equations. dy dx 1. +y = x, = 3y dt dt dx 2. dy = dt х-у dx 3. x dy = t dt , + 2x = tx² dt 4. (р? + хр)(ур + ху) — 0 5. ру — 2p* + 2 — 0 6. y = p sin p + cos p
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