Solve using (a) analytical method, (b) Euler's Method, dy=x²y - 1.1y

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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Solve
dy=x²y-1.1y
using
(a) analytical method,
(b) Euler's Method,
(c) Heun's method without iteration,
(d) Heun's method with 10 iterations
(e) second-order Runge-Kutta methods:
(e.1) midpoint method
(e.2) Ralston's method
with h = 0.25 and initial values of x = 0, y = 1, from x = 0 to 2.
Transcribed Image Text:Solve dy=x²y-1.1y using (a) analytical method, (b) Euler's Method, (c) Heun's method without iteration, (d) Heun's method with 10 iterations (e) second-order Runge-Kutta methods: (e.1) midpoint method (e.2) Ralston's method with h = 0.25 and initial values of x = 0, y = 1, from x = 0 to 2.
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