Difference between r1.17 and the current
@@ -1,6 +1,15 @@
Sub:
[[일계선형미방first-order_linear_DE]]
종속변수 $(y,y',y'',\textrm{etc.})$ 가 선형으로만 나타나는 DE.
[[일계선형미방first-order_linear_DE]]
[[선형편미방,linear_PDE]] { [[VG:라플라스_방정식,Laplace_equation]] }
[[선형편미분방정식]] ~~[[선형편미방,linear_PDE]]~~ (not good pagename scheme...) =선형편미분방정식,linear_partial_differential_equation,linear_PDE =,linear_partial_differential_equation =,linear_PDE .
{
'''선형 편미분 방정식'''
'''linear partial differential equation'''
[[VG:라플라스_방정식,Laplace_equation]]
Up: [[선형성,linearity]] [[편미분방정식,partial_differential_equation,PDE]]
} // 선형편미분방정식 .... NN:선형편미분방정식 Ggl:선형편미분방정식 // linear partial differential equation ... NN:"linear partial differential equation" Ggl:"linear partial differential equation"
종속변수 $(y,y',y'',\textrm{etc.})$ 가 선형으로만 나타나는 DE.
@@ -24,5 +33,11 @@
----
[[https://terms.naver.com/entry.naver?docId=1112154&cid=40942&categoryId=32220 두산백과: 선형미분방정식]]
[[https://terms.naver.com/entry.naver?docId=4125341&cid=60207&categoryId=60207 수학백과: 선형미분방정식]]
Up: [[미분방정식,differential_equation]]
[[https://terms.naver.com/entry.naver?docId=1112154&cid=40942&categoryId=32220 두산백과: 선형미분방정식]]
[[https://terms.naver.com/entry.naver?docId=4125341&cid=60207&categoryId=60207 수학백과: 선형미분방정식]]
https://everything2.com/title/linear+differential+equation
https://en.wikipedia.org/wiki/Linear_differential_equation
Up: [[미분방정식,differential_equation]]
----
RENAMETHISPAGE TO [[선형미분방정식,linear_differential_equation]] =선형미분방정식,linear_differential_equation =,linear_differential_equation . 선형미분방정식 linear_differential_equation
Sub:
일계선형미방first-order_linear_DE
선형편미분방정식선형편미방,linear_PDE (not good pagename scheme...) =선형편미분방정식,linear_partial_differential_equation,linear_PDE =,linear_partial_differential_equation =,linear_PDE .
종속변수 $\displaystyle (y,y',y'',\textrm{etc.})$ 가 선형으로만 나타나는 DE.선형편미분방정식
{
선형 편미분 방정식
linear partial differential equation
라플라스_방정식,Laplace_equation
Up: 선형성,linearity 편미분방정식,partial_differential_equation,PDE
} // 선형편미분방정식 .... 선형편미분방정식 선형편미분방정식 // linear partial differential equation ... linear partial differential equation linear partial differential equation
선형 편미분 방정식
linear partial differential equation
라플라스_방정식,Laplace_equation
Up: 선형성,linearity 편미분방정식,partial_differential_equation,PDE
} // 선형편미분방정식 .... 선형편미분방정식 선형편미분방정식 // linear partial differential equation ... linear partial differential equation linear partial differential equation
종속변수와 그 도함수가 모두 1차인 미분방정식.
- 종속변수와 그 모든 도함수가 1차.
- 각 계수는 독립변수와 상수에만 의존.
ODE(상미분방정식,ordinary_differential_equation,ODE)의 경우
$\displaystyle a_0(x)y+a_1(x)y'+a_2(x)y''+\cdots+a_n(x)y^{(n)}+b(x)=0$
여기서$\displaystyle a_0(x),\cdots,a_n(x)\textrm{ and }b(x):$ 미분가능한 함수 (선형함수가 아니어도 무방)
일계선형미방 First-order linear DE는 항상 다음 꼴
(Schaum DE 1.8)
$\displaystyle y'+p(x)y=q(x)$
이것은 베르누이미분방정식에서 $\displaystyle n=0,1$ 일 때.(Schaum DE 1.8)
선형미분연산자,linear_differential_operator와 관련있나?? 없나?
RENAMETHISPAGE TO 선형미분방정식,linear_differential_equation =선형미분방정식,linear_differential_equation =,linear_differential_equation . 선형미분방정식 linear_differential_equation