Consider the following initial value problem y' (t) = y² + y t where y' = and initial conditions y(1) = −2 dy dt' Estimate y(1.2) with step size h = 0.2 using the following four methods (hand calculation) a) Forward Eular Method b) Heun's Method c) Mid-point Method d) Fourth-order Runge-Kutta Method

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the following initial value problem
y' (t) =
(t) = 3² + y
t
where y'=d, and initial conditions y(1) = −2
Estimate y(1.2) with step size h = 0.2 using the following four methods (hand calculation).
a) Forward Eular Method
b) Heun's Method
c) Mid-point Method
d) Fourth-order Runge-Kutta Method
Transcribed Image Text:Consider the following initial value problem y' (t) = (t) = 3² + y t where y'=d, and initial conditions y(1) = −2 Estimate y(1.2) with step size h = 0.2 using the following four methods (hand calculation). a) Forward Eular Method b) Heun's Method c) Mid-point Method d) Fourth-order Runge-Kutta Method
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