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Consider the differential equation -3 y' - ycos²(x) = (a) Sketch the direction field for this differential equation. Plot arrows at integer values of x and y between (and including ) −3 and 3 (either by hand or on MATLAB). Assume angle x is in radians. -2 5 y -3- 2 + 0 -1- -2 --3- = -x. -4 ·N 2 3 X Figure 1: Use this grid (or similar) or create your own quiver plot in MATLAB (b) Use Euler's method to estimate y(1), given y(-3) = −2. Use a step size of h = 1,

Consider the differential equation -3 y' - ycos²(x) = (a) Sketch the direction field for this differential equation. Plot arrows at integer values of x and y between (and including ) −3 and 3 (either by hand or on MATLAB). Assume angle x is in radians. -2 5 y -3- 2 + 0 -1- -2 --3- = -x. -4 ·N 2 3 X Figure 1: Use this grid (or similar) or create your own quiver plot in MATLAB (b) Use Euler's method to estimate y(1), given y(-3) = −2. Use a step size of h = 1,

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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2. Consider the differential equation y' - ycos² (x) = = -x. (a) Sketch the direction field for this differential equation. Plot arrows at integer values of x and y between (and including ) −3 and 3 (either by hand or on MATLAB). Assume angle x is in radians. -3 -2 y 4 -3- -2- → O -1- -2 -3- 1 2 3 X 4 Figure 1: Use this grid (or similar) or create your own quiver plot in MATLAB (b) Use Euler's method to estimate y(1), given y(-3) = -2. Use a step size of h = 1,
Transcribed Image Text:2. Consider the differential equation y' - ycos² (x) = = -x. (a) Sketch the direction field for this differential equation. Plot arrows at integer values of x and y between (and including ) −3 and 3 (either by hand or on MATLAB). Assume angle x is in radians. -3 -2 y 4 -3- -2- → O -1- -2 -3- 1 2 3 X 4 Figure 1: Use this grid (or similar) or create your own quiver plot in MATLAB (b) Use Euler's method to estimate y(1), given y(-3) = -2. Use a step size of h = 1,
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