Mind map
1st order DE
Map content
1st order DE
Method of Solution
- Separable eq
- separate v&x
- integrate both side
- separate v&x
- Homogenous eq
- determine the eq
- sub (y=vx) and (dy/dx=v+x dv/dx)
- determine the eq
- Exact DE
- M dy + N dx = 0
- if exact
- M= , N=
- u(x,y) = M(x,y) dx +
- u(x,y) = N(x,y) dy +
- compare
- compare
- u(x,y) = N(x,y) dy +
- u(x,y) = M(x,y) dx +
- M= , N=
- if not exact
- if exact
- M dy + N dx = 0
- Linear
- Bernoulli eq
- Solutions by Subtitution
- Autonomous eq
- Separable eq
Applications
- Newton's Law of cooling
- Natural Growth & Decay
- Electric Circuits Model
- Vertical Motion
Information
- Description
- Mind Map on 1st order DE, created by Alya Izzati on 25/06/2021.
- Created by
- Alya Izzati
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