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Consider a single water tank system whose water level y is described by dy + 8√y = F₁ dx where F; is the inflow to the tank. Take Fi(t) = 10 for t>=0. Initially (t=0) water level y=0. PART I: Compute the water level up to t-0.6, using the step sizes h=0.2 and h=0.1, and using the following numerical methods. a. Forward Euler Method

Consider a single water tank system whose water level y is described by dy + 8√y = F₁ dx where F; is the inflow to the tank. Take Fi(t) = 10 for t>=0. Initially (t=0) water level y=0. PART I: Compute the water level up to t-0.6, using the step sizes h=0.2 and h=0.1, and using the following numerical methods. a. Forward Euler Method

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider a single water tank system whose water level y is described by + 8√y = F₁ dx where Fi is the inflow to the tank. Take Fi(t) = 10 for t >=0. Initially (t=0) water level y=0. PART I: Compute the water level up to t=0.6, using the step sizes h=0.2 and h=0.1, and using the following numerical methods. a. Forward Euler Method b. Modified Euler Method (Heun's Method) c. 4th Order Runge - Kutta Method. Compare the results.
Transcribed Image Text:Consider a single water tank system whose water level y is described by + 8√y = F₁ dx where Fi is the inflow to the tank. Take Fi(t) = 10 for t >=0. Initially (t=0) water level y=0. PART I: Compute the water level up to t=0.6, using the step sizes h=0.2 and h=0.1, and using the following numerical methods. a. Forward Euler Method b. Modified Euler Method (Heun's Method) c. 4th Order Runge - Kutta Method. Compare the results.
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