In the initial value problem, use the Runge-Kutta method with step sizes h = 0.2, 0.1, 0.05, and 0.025 to approximate to six decimal places the values of the solution at five equally spaced points of the given interval. Throughout, primes denote derivatives with respect to x. y' =3x+√y, y(0)=1;0≤x≤2 (Round to six decimal places as needed.)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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In the initial value problem, use the Runge-Kutta method with step sizes h = 0.2, 0.1, 0.05, and 0.025 to approximate to six decimal places the values of the solution at five equally spaced points of the given interval. Throughout, primes denote derivatives with respect to x.
y' 3x+√√y, y(0)=1;0x2
(Round to six decimal places as needed.)
☑ 0
y with h 0.2 1
0.4
0.8
1.2
1.6
2.0
Transcribed Image Text:In the initial value problem, use the Runge-Kutta method with step sizes h = 0.2, 0.1, 0.05, and 0.025 to approximate to six decimal places the values of the solution at five equally spaced points of the given interval. Throughout, primes denote derivatives with respect to x. y' 3x+√√y, y(0)=1;0x2 (Round to six decimal places as needed.) ☑ 0 y with h 0.2 1 0.4 0.8 1.2 1.6 2.0
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