응용수치해석 2판 解法(해법)
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작성일 19-09-29 21:18본문
Download : 응용수치해석 2판 솔루션.pdf
응용수치해석 2판 解法(해법)
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응용수치해석 2판 솔루션 , 응용수치해석 2판 솔루션물리솔루션 , 응용수치해석 2판 솔루션
응용수치해석 2판 해답
1
CHAPTER 1
1.1 You are given the following differential equation with the initial condition, v(t = 0) = 0,
c dv = g ? d v2 dt m
Multiply both sides by m/cd
m dv m = g ? v2 c d dt c d
Define a = mg / c d
m dv = a2 ? v2 c d dt
Integrate by separation of variables,
∫ a 2 ? v 2 = ∫ m dt
A table of integrals can be consulted to find that
dv
cd
∫a
2
1 dx x = tanh ?1 2 a a ?x
Therefore, the integration yields
1 v c tanh ?1 = d t + C a a m
If v = 0 at t = 0, then because tanh?1(0) = 0, the constant of integration C = 0 and the solution is
1 v c tanh ?1 = d t a a m
This result can then be rearranged to yield
v=
? gc d ? gm t? tanh? ? m ? cd ? ? …(To be continued )
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솔루션/물리
응용수치해석 2판 解法(해법)
응용수치해석,2판,솔루션,물리,솔루션
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