solve the initial-value first ODE: Screenshot 2021-10-22 142440.png dy/dt+t^2=1 with the initial condition of y(0)=D0.5, with a time-step of At=0.1, for the time interval 0sts2. Please show all the solutions in a table in excel of t and y values rounded to 4 decimal places. For the Euler method [8] For the 2nd order Runge- Kutta method For the 4th order Runge-Kutta Method

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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solve the initial-value first ODE: Screenshot
2021-10-22 142440.png dy/dt+t^2=1 with the
initial condition of y(0)=0.5, with a time-step of
At=0.1, for the time interval 0sts2. Please
show all the solutions in a table in excel of t
and y values rounded to 4 decimal places. For
the Euler method [8] For the 2nd order Runge-
Kutta method For the 4th order Runge-Kutta
Method
Transcribed Image Text:solve the initial-value first ODE: Screenshot 2021-10-22 142440.png dy/dt+t^2=1 with the initial condition of y(0)=0.5, with a time-step of At=0.1, for the time interval 0sts2. Please show all the solutions in a table in excel of t and y values rounded to 4 decimal places. For the Euler method [8] For the 2nd order Runge- Kutta method For the 4th order Runge-Kutta Method
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