Math 224-01: Differential Equations: Reading Homework 3.4
- Undriven Constant Coefficient Linear ODEs, II : is it odd that we haven't specified ``second-order ODEs'' here? what equations do we obtain solutions for in this section?
- Complex-Valued Functions and Solutions : what questions do we think about here? what are their answers? how is D[y] defined for complex-valued functions?
- Point : how is linearity important when considering polynomial operators?
- Point : how is the exponential function e^{(alpha + ibeta)t} written using Euler's formula?
- Point : what's D[e^{alpha +
ibeta t}]? what does this mean
about P(D)[e^{rt}] for complex values of r?
- Finding Solution Formulas : how do we conclude that u(t) and v(t), the real and imaginary parts of a solution e^{(alpha+i beta)t} to P(D)[y] = 0, are themselves solutions to P(D)[y] = 0?
- Point : what are the solutions to P(D)[y] = y'' + a y' + b y = 0 for any a and b?
Math 224-01: Differential Equations: Reading Homework 3.4
Last Modified: Thu Mar 2 23:24:40 2000
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