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The general solution, (t) satisfies the following second order differential equation ay" + by' + cy = 3 cos 2 t Where a, b and c are constants and a + 0. The (t) а depend on whether b² > 4ac, b² = 4ac or b2 < 4ac. i) Construct TWO (2) different general solutions, (t) and solve the models with initial conditions y(0) = 2 and y (0) = 0 by using undetermined coefficient method. Plot both general solutions (t), for interval of 0

The general solution, (t) satisfies the following second order differential equation ay" + by' + cy = 3 cos 2 t Where a, b and c are constants and a + 0. The (t) а depend on whether b² > 4ac, b² = 4ac or b2 < 4ac. i) Construct TWO (2) different general solutions, (t) and solve the models with initial conditions y(0) = 2 and y (0) = 0 by using undetermined coefficient method. Plot both general solutions (t), for interval of 0

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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The general solution, (t) satisfies the following second order differential equation ay" + by' + cy = 3 cos 2 t Where a, b and c are constants and a + 0. The (t) а depend on whether b² > 4ac, b² = 4ac or b2 < 4ac. i) Construct TWO (2) different general solutions, (t) and solve the models with initial conditions y(0) = 2 and y (0) = 0 by using undetermined coefficient method. Plot both general solutions (t), for interval of 0 <t s 5 and discuss the differences. ii) Construct ONE (1) general solution, (t) and solve the model with initial conditions y(0) = 2 and y'(0) = 0 by using Laplace Transform.
Transcribed Image Text:The general solution, (t) satisfies the following second order differential equation ay" + by' + cy = 3 cos 2 t Where a, b and c are constants and a + 0. The (t) а depend on whether b² > 4ac, b² = 4ac or b2 < 4ac. i) Construct TWO (2) different general solutions, (t) and solve the models with initial conditions y(0) = 2 and y (0) = 0 by using undetermined coefficient method. Plot both general solutions (t), for interval of 0 <t s 5 and discuss the differences. ii) Construct ONE (1) general solution, (t) and solve the model with initial conditions y(0) = 2 and y'(0) = 0 by using Laplace Transform.
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