Use euler method to approiximate y(1)
y' is given , solve for y. approiximate y(1)
Create a table to show the approximate value of y(1) for each
choice of h.
y’ = -15y y(0) = 1
h = .25
h = .125
h = .0625
h = .03125
Consider the following initial value problem
dy/dt = 3 − 2*t − 0.5*y, y (0) = 1
We would like to find an approximation solution with the step
size h = 0.05.
What is the approximation of y(0.1)?
Use the Euler method to solve the following differential
equation for the domain [2,2.5]. Use the step-size ℎ = 0.1.
?′=?ln?/? ;?(2)=?1
b) Use the third order Taylor series method to find ?(0.1) and
?(0.2),
where ?′=1+2?? ;?(0)=0. Use the step-size ℎ=0.1.
c) Solve the problem in part (ii) using the fourth order Runge –
Kutta method.
d) Solve the problem in part (ii) using the Predictor – Corrector
method.