10. A cubical tank (sides 2 meters) is filled with water to height H = 1.3 m at 1 = 0. The water is drained through a circular hole with diameter 0.2 m. Solve the first degree differential equation d H - -0.03 H². H (0) = 1.3 using the Taylor method of order 2 Ha+1 = H, + h f(H,) +5 s'CH.) Use the step size h = 0. 2 and recurse twice to generate H (0. 2) and H(0.4).Use five decimal point accuracy.

Structural Analysis
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Chapter2: Loads On Structures
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10. A cubical tank (sides 2 meters) is filled with water to height H = 1.3 m at t = 0. The water is
drained through a circular hole with diameter 0.2 m. Solve the first degree differential equation
d H
d t
= -0. 03 H² .
H(0) = 1.3
using the Taylor method of order 2 H+1 = H, + h ƒ(H„) +5 f'(H.)
Use the step size h = 0.2 and recurse twice to generate H(0. 2) and H(0.4).Use five decimal
point accuracy.
Transcribed Image Text:10. A cubical tank (sides 2 meters) is filled with water to height H = 1.3 m at t = 0. The water is drained through a circular hole with diameter 0.2 m. Solve the first degree differential equation d H d t = -0. 03 H² . H(0) = 1.3 using the Taylor method of order 2 H+1 = H, + h ƒ(H„) +5 f'(H.) Use the step size h = 0.2 and recurse twice to generate H(0. 2) and H(0.4).Use five decimal point accuracy.
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