Perform the given problem solving on Finite Divided Difference or Euler's method.A storage tank contains a liquid at depth y where y = 0 when the tank is half full. Liquid is withdrawn at a constant flow rate Q to meet demands. The contents are resupplied at a sinusoidal rate 3Qsin^2(t) Equation can be written for this system asd(Ay)= 3Qsin (1) –d(t)change in') = (inflow) – (outflow)volumesince the surface area A is constantdy: 3부 sin?(0)-으A%3Dd(t)AUse Euler's method to solve for the depth y from t = 0 to 10 d witha step size of 0.5 d. The parameter values are A = 1200 m² andQ = 500 m³/d. Assume that the initial condition is y = 0.%3D

Answered: Image /qna-images/answer/83384be7-9ee3-4662-98be-91a4f193770d.jpg

Equation can be written for this system as d(Ay) d(t) = 3Q sin (1) – Q ´change in` (inflow) – (outflow) %3D volume since the surface area A is constant dy sin²(t) A d(t) A Use Euler's method to solve for the depth y from t = 0 to 10 d with a step size of 0.5 d. The parameter values are A = 1200 m² and Q = 500 m³/d. Assume that the initial condition is y = 0.

Equation can be written for this system as d(Ay) d(t) = 3Q sin (1) – Q ´change in` (inflow) – (outflow) %3D volume since the surface area A is constant dy sin²(t) A d(t) A Use Euler's method to solve for the depth y from t = 0 to 10 d with a step size of 0.5 d. The parameter values are A = 1200 m² and Q = 500 m³/d. Assume that the initial condition is y = 0.

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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Question

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Perform the given problem solving on Finite Divided Difference or Euler's method.

A storage tank contains a liquid at depth y where y = 0 when the tank is half full. Liquid is withdrawn at a constant flow rate Q to meet demands. The contents are resupplied at a sinusoidal rate 3Qsin^2(t)