@@ -8,10 +8,10 @@ Linear ODE
88\\ frac{du}{dt} = αu
99```
1010
11- with initial condition ``u0 =1/2``, ``α=1.01``, and solution
11+ with initial condition ``u_0 =1/2``, ``α=1.01``, and solution
1212
1313```math
14- u(t) = u0e ^{αt}
14+ u(t) = u_0e ^{αt}
1515```
1616
1717with Float64s. The parameter is ``α``
@@ -27,10 +27,10 @@ Linear ODE
2727\\ frac{du}{dt} = αu
2828```
2929
30- with initial condition ``u0 =1/2``, ``α=1.01``, and solution
30+ with initial condition ``u_0 =1/2``, ``α=1.01``, and solution
3131
3232```math
33- u(t) = u0e ^{αt}
33+ u(t) = u_0e ^{αt}
3434```
3535
3636with BigFloats
@@ -48,10 +48,10 @@ f_2dlinear_analytic = (u0,p,t) -> @. u0*exp(p*t)
4848\\ frac{du}{dt} = αu
4949```
5050
51- with initial condition ``u0 =1/2``, ``α=1.01``, and solution
51+ with initial condition ``u_0 =1/2``, ``α=1.01``, and solution
5252
5353```math
54- u(t) = u0e ^{αt}
54+ u(t) = u_0e ^{αt}
5555```
5656
5757with Float64s
@@ -67,10 +67,10 @@ prob_ode_2Dlinear = ODEProblem(
6767\\ frac{du}{dt} = αu
6868```
6969
70- with initial condition ``u0 =1/2``, ``α=1.01``, and solution
70+ with initial condition ``u_0 =1/2``, ``α=1.01``, and solution
7171
7272```math
73- u(t) = u0e ^{αt}
73+ u(t) = u_0e ^{αt}
7474```
7575
7676with Float64s
@@ -86,10 +86,10 @@ prob_ode_large2Dlinear = ODEProblem(
8686\\ frac{du}{dt} = αu
8787```
8888
89- with initial condition ``u0 =1/2``, ``α=1.01``, and solution
89+ with initial condition ``u_0 =1/2``, ``α=1.01``, and solution
9090
9191```math
92- u(t) = u0e ^{αt}
92+ u(t) = u_0e ^{αt}
9393```
9494
9595with BigFloats
@@ -106,10 +106,10 @@ f_2dlinear_notinplace = (u,p,t) -> p*u
106106\\ frac{du}{dt} = αu
107107```
108108
109- with initial condition ``u0 =1/2``, ``α=1.01``, and solution
109+ with initial condition ``u_0 =1/2``, ``α=1.01``, and solution
110110
111111```math
112- u(t) = u0e ^{αt}
112+ u(t) = u_0e ^{αt}
113113```
114114
115115on Float64. Purposefully not in-place as a test.
0 commit comments