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Solve the following problem: dh 10.3 + 0.002 (52.1h + 10.3h. - 1.17(1 – sin 3t) = 0.0308, with h(0)-4 Where h denotes the liquid level (measured in meters) and t denotes the time (minutes). Find the liquid level at t-4 minutes using Euler's and Heun method. Assume step size of 1 minute. Plot your result. (Use caleulator in radians) Question 2 (Example 8.2) Use (a) Euler's and (b) the Heun method to solve the following set of differential equations, assuming that x = 0, y1 = 4, y2 = 6. Find the value of y, and y2 at x-2 with step size of 0.5. dy = -0.5y1 dy = 4-0.3yz - 0.1y1

Solve the following problem: dh 10.3 + 0.002 (52.1h + 10.3h. - 1.17(1 – sin 3t) = 0.0308, with h(0)-4 Where h denotes the liquid level (measured in meters) and t denotes the time (minutes). Find the liquid level at t-4 minutes using Euler's and Heun method. Assume step size of 1 minute. Plot your result. (Use caleulator in radians) Question 2 (Example 8.2) Use (a) Euler's and (b) the Heun method to solve the following set of differential equations, assuming that x = 0, y1 = 4, y2 = 6. Find the value of y, and y2 at x-2 with step size of 0.5. dy = -0.5y1 dy = 4-0.3yz - 0.1y1

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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Question 1 (Example 8.3) Solve the following problem: dh 10.3 + 0.002 (52.1h +: -1.17(1- sin 3t) = 0.0308, with h(0)=4 dt 10.3h/ Where h denotes the liquid level (measured in meters) and t denotes the time (minutes). Find the liquid level at t=4 minutes using Euler's and Heun method. Assume step size of 1 minute. Plot your result. (Use calculator in radians) Question 2 (Example 8.2) Use (a) Euler's and (b) the Heun method to solve the following set of differential equations, assuming that x = 0, y1 = 4, y2 = 6. Find the value of y, and y2 at x=2 with step size of 0.5. dy = -0.5y1 dx dy = 4-0.3y2 - 0.1yı dx
Transcribed Image Text:Question 1 (Example 8.3) Solve the following problem: dh 10.3 + 0.002 (52.1h +: -1.17(1- sin 3t) = 0.0308, with h(0)=4 dt 10.3h/ Where h denotes the liquid level (measured in meters) and t denotes the time (minutes). Find the liquid level at t=4 minutes using Euler's and Heun method. Assume step size of 1 minute. Plot your result. (Use calculator in radians) Question 2 (Example 8.2) Use (a) Euler's and (b) the Heun method to solve the following set of differential equations, assuming that x = 0, y1 = 4, y2 = 6. Find the value of y, and y2 at x=2 with step size of 0.5. dy = -0.5y1 dx dy = 4-0.3y2 - 0.1yı dx
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