Introduction to Differential Equations 3ed

Table 1.1 for Exercise 7 on pg 5

Table 4.1 phase plane examples (pg 105)

Table 6.1 Laplace transforms (pg 158)

Figures all (but one) of the figures in text (zip file)

Zipped folder including all Chapter 3 videos.

Example A  for u(0) = 0, u'(0) = 1, k = 4

Example B  for u(0) = 1, u'(0) = 1, k = 4

Example C  for u(0) = 0, u'(0) = -3, k = 4

Example D  for u(0) = 0, u'(0) = 1, k = 16

Example A  for u(0) = 0, u'(0) = 1, k = 4, c = 5 (over)

Example B  for u(0) = 0, u'(0) = 1, k = 4, c = 4 (critical)

Example C  for u(0) = 0, u'(0) = 1, k = 4, c = 0.5 (under)

Example D  for u(0) = 0, u'(0) = 1, k = 4, c = 0.01 (weak)

Zipped folder including all Chapter 4 videos.

Two Positive Eigenvalues

One Positive and One Negative Eigenvalue

Complex Eigenvalues

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Solution Curves video for Figure 5.2

Pendulum video for Figure 5.11

Pendulum video for circulating motion

Pendulum video for separatrix motion

Zipped folder including all Chapter 7 videos.

Example 1  for u(x,0) = 3sin(pi*x)

Example 2  for u(x,0) = 3sin(pi*x/2)-4sin(3*pi*x/2)+5sin(2*pi*x)

Example 3  for u(x,0) = bump

Example 3  g(x) = piecewise linear

Example 4  g(x) = step

Example 5  g(x) = step (cosine series)

Example A  g(x) = exp(x)

Example B  g(x) = cos(3pi*x)

Example C  g(x) = x^2

Example 1  u(x,0) = 3sin(pi*x)

Example A  u(x,0) = x^2(1-x)^2

Example B  u(x,0) = x^2(1-x)^2(x-0.25)

Example C  u(x,0) = x^2(1-x)^2sin(17x/3)

Example D  u(x,0) = bump

Diffusion equation, Einstein, and AI Generated Images

Wave equation and an elastic string