5. A handheld calculator will suffice for this problem, an initial value problem and its exace solution are given. Apply the Runge-Kutta method to approximate this solution on the interval [0,0.5] with step size h= 0.25. onstruct a table showing five-decimal-place values of the approximate solution and actual solution at the points x 0.25 and 0.5. y' =(1+ y²),y(0) = 1; y(x) = tan÷(x+r) %3D exact" аpprox. in Xn Yn k1 k2 k3 k4 Yn+1 Xn+1 Yn+1 0.25 1.133519 0. 0.25 0.5 1.287427 10.25 0.25 oltoups edd vica uo A omid ni anomo to

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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5. A handheld calculator will suffice for this problem, an initial value problem and ts ekaet
solution are given. Apply the Runge-Kutta method to approximate this solution on the
interval [0,0.5] with step size h = 0.25. onstruct a table showing five-decimal-piace
values of the approximate solution and actual solution at the points x 0.25 and 0.3.
y' =(1+ y²),y(0) = 1; y(x) = tan÷(x +r)
"exact"
аpprox.
k1
k2
k3
k4
Yn+1
Xn+1
Yn+1
Yn
0.25 1.133519
0.25
0.5 1.287427
10.25
0.25
U noltoups edt vioa uoY Al
omd ni anomo o
orlw wod uoy ners bro
Transcribed Image Text:5. A handheld calculator will suffice for this problem, an initial value problem and ts ekaet solution are given. Apply the Runge-Kutta method to approximate this solution on the interval [0,0.5] with step size h = 0.25. onstruct a table showing five-decimal-piace values of the approximate solution and actual solution at the points x 0.25 and 0.3. y' =(1+ y²),y(0) = 1; y(x) = tan÷(x +r) "exact" аpprox. k1 k2 k3 k4 Yn+1 Xn+1 Yn+1 Yn 0.25 1.133519 0.25 0.5 1.287427 10.25 0.25 U noltoups edt vioa uoY Al omd ni anomo o orlw wod uoy ners bro
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