NSolveODE Command Examples

jospercomp shared this question 4 months ago
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Example 1:

f'(t, f, g, h) = g

g'(t, f, g, h) = h

h'(t, f, g, h) = -t h + 3t g + 2f + t

The example 1 of NSolveODE command represent this ODE equation:

y'''+t*y''- 3*t*y '+ 2*y - t = 0

Example 2:

x1'(t, x1, x2, x3, x4) = x2

x2'(t, x1, x2, x3, x4) = x3

x3'(t, x1, x2, x3, x4) = x4

x4'(t, x1, x2, x3, x4) = -8x1 + sin(t) x2 - 3x3 + t^2

The example 2 of NSolveODE command represent this ODE equation:

y''''+3*y'''- sin(t)*y'+8*y'-t^2=0

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