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Euler's method?
Describe how to modify Euler's method to deal with the initial condition of y(5)=3 instead of y(0)=3.
Use this on the equation y'=1+t using a time step of 0.1 and initial condition of y(5)=3 and find y(5.4) .
??
Now find the exact solution of this equation using calculus and find what the exact answer is.
= ?
What is the percentage error in the value Euler's method gave at t=5.4?
Percentage error = ? percent
Describe how to modify Euler's method to deal with the initial condition of y(5)=3 instead of y(0)=3.
Use this on the equation y'=1+t using a time step of 0.1 and initial condition of y(5)=3 and find y(5.4) .
??
Now find the exact solution of this equation using calculus and find what the exact answer is.
= ?
What is the percentage error in the value Euler's method gave at t=5.4?
Percentage error = ? percent