3.3. Consider the system - Use h method. u₁ = 4u₁ + u₂, u₁(0) = 1, U₂ = U₁ - 4U₂, U₂(0) = -1. 0.5 to approximate u₁(1) and u2(1) by using the second order Runge-Kutta

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Chapter2: Second-order Linear Odes
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3.3. Consider the system
u₁ = -4u₁ + U₂, u₁(0) = 1,
Uz
U₂ = U₁ - 4U₂, U₂(0) = −1.
ալ
Use h = 0.5 to approximate u₁ (1) and u2(1) by using the second order Runge-Kutta
method.
Transcribed Image Text:3.3. Consider the system u₁ = -4u₁ + U₂, u₁(0) = 1, Uz U₂ = U₁ - 4U₂, U₂(0) = −1. ալ Use h = 0.5 to approximate u₁ (1) and u2(1) by using the second order Runge-Kutta method.
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