SOLUTION: For the initial value problem, compute the first two approximations u1 and u2 given by Euler's method using the given time step.y'(t) =4y, y(0) =5; Delta(t) = 0.5

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Question 1070767: For the initial value problem, compute the first two approximations u1 and u2 given by Euler's method using the given time step.y'(t) =4y, y(0) =5; Delta(t) = 0.5
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
t%5Bn%2B1%5D=t%5Bn%5D%2BDELTA%2At
y%5Bn%2B1%5D=y%5Bn%5D%2BDELTA%2At%2Af%28x%5Bn%5D%2Cy%5Bn%5D%29
.
.
.
t%5B0%5D=0
y%5B0%5D=5
DELTA%2At=0.5
.
.
.
t%5B1%5D=t%5B0%5D%2B0.5=0%2B0.5=0.5
y%5B1%5D=y%5B0%5D%2B0.5%284y%5B0%5D%29=3y%5B0%5D=3%285%29=15
.
.
t%5B2%5D=t%5B1%5D%2B0.5=0.5%2B0.5=1
y%5B2%5D=y%5B1%5D%2B0.5%284y%5B1%5D%29=15%2B2%2815%29=45