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Consider the differential equation x²dx - ydy=0 with the initial condition y(0) = 2. Approximate the value (up to 6 decimal places) of the solution at x =4 using Fourth Order Runge-Kutta Method with step size of h=0.4.

Consider the differential equation x²dx - ydy=0 with the initial condition y(0) = 2. Approximate the value (up to 6 decimal places) of the solution at x =4 using Fourth Order Runge-Kutta Method with step size of h=0.4.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the differential equation x²dx - ydy = 0 with the initial condition y(0) = 2. Approximate the value (up to 6 decimal places) of the solution at x =4 using Fourth Order Runge-Kutta Method with step size of h=0.4.
Transcribed Image Text:Consider the differential equation x²dx - ydy = 0 with the initial condition y(0) = 2. Approximate the value (up to 6 decimal places) of the solution at x =4 using Fourth Order Runge-Kutta Method with step size of h=0.4.
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