Find the general solutions of the following differential equations. d (dy 1. dx dx = 6 x + 3 4ト.0+-} dfdy - 12; y= 0, dx dy - 0 when x = 1 2. X dx dx 3. х у" — 2 х(у'))? + у %3 0 4. у" + 2y' — 6х — 3 - 0 5. уу" + 2 (у)? - о

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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special second-ordered equations. number 3

pls answer by the process of second-ordered equations and NOT by exact differential equations. Many questions I asked were answered that way and they're all wrong because we finished EDE long time ago.

Find the general solutions of the following differential equations.
d (dy
1.
dx dx
= 6 x + 3
4ト.0+-)
dfdy
- 12; y= 0,
dx
dy - 0 when x = 1
2.
X
dx
dx
3. х у" — 2 х(у'))? + у %3 0
4. у" + 2y' — 6х — 3 - 0
5. уу" + 2 (у)? - 0
Transcribed Image Text:Find the general solutions of the following differential equations. d (dy 1. dx dx = 6 x + 3 4ト.0+-) dfdy - 12; y= 0, dx dy - 0 when x = 1 2. X dx dx 3. х у" — 2 х(у'))? + у %3 0 4. у" + 2y' — 6х — 3 - 0 5. уу" + 2 (у)? - 0
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