@@ -8,10 +8,10 @@ Linear ODE
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\\ frac{du}{dt} = αu
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```
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- with initial condition ``u0 =1/2``, ``α=1.01``, and solution
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+ with initial condition ``u_0 =1/2``, ``α=1.01``, and solution
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```math
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- u(t) = u0e ^{αt}
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+ u(t) = u_0e ^{αt}
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```
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with Float64s. The parameter is ``α``
@@ -27,10 +27,10 @@ Linear ODE
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\\ frac{du}{dt} = αu
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```
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- with initial condition ``u0 =1/2``, ``α=1.01``, and solution
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+ with initial condition ``u_0 =1/2``, ``α=1.01``, and solution
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```math
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- u(t) = u0e ^{αt}
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+ u(t) = u_0e ^{αt}
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```
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with BigFloats
@@ -48,10 +48,10 @@ f_2dlinear_analytic = (u0,p,t) -> @. u0*exp(p*t)
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\\ frac{du}{dt} = αu
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```
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- with initial condition ``u0 =1/2``, ``α=1.01``, and solution
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+ with initial condition ``u_0 =1/2``, ``α=1.01``, and solution
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```math
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- u(t) = u0e ^{αt}
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+ u(t) = u_0e ^{αt}
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```
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with Float64s
@@ -67,10 +67,10 @@ prob_ode_2Dlinear = ODEProblem(
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\\ frac{du}{dt} = αu
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```
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- with initial condition ``u0 =1/2``, ``α=1.01``, and solution
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+ with initial condition ``u_0 =1/2``, ``α=1.01``, and solution
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```math
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- u(t) = u0e ^{αt}
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+ u(t) = u_0e ^{αt}
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```
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with Float64s
@@ -86,10 +86,10 @@ prob_ode_large2Dlinear = ODEProblem(
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\\ frac{du}{dt} = αu
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```
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- with initial condition ``u0 =1/2``, ``α=1.01``, and solution
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+ with initial condition ``u_0 =1/2``, ``α=1.01``, and solution
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```math
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- u(t) = u0e ^{αt}
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+ u(t) = u_0e ^{αt}
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```
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with BigFloats
@@ -106,10 +106,10 @@ f_2dlinear_notinplace = (u,p,t) -> p*u
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\\ frac{du}{dt} = αu
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```
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- with initial condition ``u0 =1/2``, ``α=1.01``, and solution
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+ with initial condition ``u_0 =1/2``, ``α=1.01``, and solution
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```math
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- u(t) = u0e ^{αt}
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+ u(t) = u_0e ^{αt}
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```
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on Float64. Purposefully not in-place as a test.
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