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CrazyAzn89
Lv 5
Differential equations help?
How do I solve this differential equation using separation of variables?
Am I suppose to plug in the zeros for t and s?
ds/dt = sec(s); t = 0 when s = 0
3 Answers
Relevance
- cidyahLv 710 years agoFavourite answer
Separate the variables
∫ ds/sec(s) = ∫ dt
∫ cos(s) ds = ∫ dt
sin(s) = t+C
t=0; s=0
sin(0) = 0+C
C=0
sin(s) = t
s=sin^-1(t)
- SidLv 610 years ago
ds/sec(s) = dt
â« cos(s) ds = â« dt
sin(s) = t + C
When s=0, t=0
=> sin(0) = 0 + C
=> C = 0
Hence
t - sin(s) = 0
- Anonymous10 years ago
Your answer with explanation can be found in the sources.
Source(s): http://goo.gl/8QirB
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