A cubical tank (sides 2 meters) is filled with water to height 10. 0.2 m d H dt -0. 03 H². H(0) = 1.3 %3D using the Taylor method of order 2 Hn+1 = H, + h f (H„) +, f'(H,) Use the step size h = 0.2 and recurse twice to generate H(0. 2) and H(0.4) H = 1.3 m at t = 0. The water is drained through a circular hole with diameter Solve the first degree differential equation

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A cubical
tank (sides 2
meters) is filled
with water to height
10.
0.2 m
d H – -0.03 H².
H(0) = 1.3
dt
using the Taylor method of order 2
Hn+1 = H, + h f(H,) +5 f'(H,)
Use the step size h = 0.2 and recurse twice to generate H(0. 2) and H(0.4)
H = 1.3 m at t = 0. The water is drained through a circular hole with diameter
. Solve the
first degree differential equation
Use five decimal point accuracy.
Transcribed Image Text:A cubical tank (sides 2 meters) is filled with water to height 10. 0.2 m d H – -0.03 H². H(0) = 1.3 dt using the Taylor method of order 2 Hn+1 = H, + h f(H,) +5 f'(H,) Use the step size h = 0.2 and recurse twice to generate H(0. 2) and H(0.4) H = 1.3 m at t = 0. The water is drained through a circular hole with diameter . Solve the first degree differential equation Use five decimal point accuracy.
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