Question
y(t–(y(t))2 + 10000-10000e-5t computed with ode45. Prove that the method is unconditionally stable or derive the condition for conditional stability (as a condition for for the ODE for λ <…
y(t–(y(t))2 + 10000-10000e-5t
computed with ode45. Prove that the method is unconditionally stable or derive the condition for conditional stability (as a condition for for the ODE for λ < 0. (b)
y(t–(y(t))2 + 10000-10000e-5t
computed with ode45. Prove that the method is unconditionally stable or derive the condition for conditional stability (as a condition for for the ODE for λ
Solutions
Expert Solution
-5t- dy dt dt st
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n own deep Sope field:
Slope field 1.0 0.5 0.0 -0.5 1.0 1.0-0.5 0.0 0.5 1.0
Plots of sample individual solution: y(0) 1 Sample solution family: 800 600 400 200 (sampling yo) 0.0020.0040.0060.0080.0100.0120.014
Y'(t) DtbevenHal eauaton sol-tion! dx(t) Let Caush on ぴ1tererkad euaH-מ çola.ha.
Slope field: 6 I- 6-42 024 6 Plots of sample individual solution: Sample solution family 12 10 sampling yO 0.5 1.0 1,5 2.0 2.5
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