Use Eulers method to solve dBdt008B with initial value B1200

Use Euler\'s method to solve
dB/dt=0.08B
with initial value B=1200 when t=0 .

a. deltat=1 and 1 step: B(1) =

b. deltat=0.5 and 2 steps: B(1) =

c. deltat=0.25 and 4 steps: B(1) =

please show work, and clearly list which is part A, B, or C . thank you!

Solution

dB/dt = 0.08B => lnB = 0.08t + c B(0) = 1200 => ln1200 = c Thus, ln(B/1200) = 0.08 t a. B(1) = 1300
Use Euler\'s method to solve dB/dt=0.08B with initial value B=1200 when t=0 . a. deltat=1 and 1 step: B(1) = b. deltat=0.5 and 2 steps: B(1) = c. deltat=0.25 an

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