Updated exam dates due to bad weather: Exam 1 (18 February), Exam 2 (11 March 25 March), Exam 3 (15 April)
WeBWorK Homework For Exam 1 (final submission due 22 February at 11:59PM)
HW1 - Equations and Solutions
HW2 - Existence and uniqueness and slope fields
HW3 - Solving first order equations
For Exam 2 (final submission due 29 March at 11:59PM)
HW4 - Higher order and linear independence and reduction of order
HW5 - Homogeneous linear ODEs with constant coefficients
HW6 - Cauchy-Euler and nonhomogeneous second order ODEs
HW7 - Laplace transform basics
HW8 - Solving IVPs with Laplace transform
For Exam 3 (final submission due 19 April at 11:59PM)
Quizzes For Exam 1
Quiz 1 (due 15 January): Use the embedded code in the book from Section 1.2 to plot Malthusian growth for some parameter sets to look at solutions. Find a choice for the parameter $r$ that leads to a solution that decays to zero and a choice for the parameter $r$ that leads to an exponentially growing solution. Report the parameters you found and include the plots.
Quiz 2 (due 3 February): Find the value of $C$ so that the solution $y(t)=Ce^{4t}$ of $y'=4y$ satisfies the initial data $y(2)=11$. Use and modify the code in Example 1.8.5 and submit your value of $C$ and a picture of the plot to Blackboard.
Quiz 3 (due 10 February) [soln]: Solve the differential equation $y'=(t^2-4)(2y-3)$ using separation of variables.
Quiz 4 (due 13 February) [soln]: Solve the initial value problem $ty'+2y=t^2-t+1, y(1)=\dfrac{1}{2}$.
Quiz 5 (due 13 February) [soln]: Consider the differential equation $y'=y^2+y-2$. Find the equilibrium points (aka critial points) and classify them as asymptotically stable, semistable, or unstable.
For Exam 2
Quiz 6 (due 24 February): Do Example 2.2.7 from the book.
Quiz 7 (due 26 February): Find the general solution of the ODE $y''-y=t^2+1$.
Quiz 8 (due 3 March): Compute the Laplace transform of the function $f(t)=t^2$ using the definiton and integration by parts.
Quiz 9 (due 10 March): Solve the following first-order differential equation using the Laplace transform method: $y'+5y=e^{-2t}, y(0)=5$.
Quiz 10 (due 12 March): Use the Laplace transform method to solve the nonhomogeneous differential equation $y''+4y=2e^{-t}$ equipped with initial conditions $y(0)=1$ and $y'(0)=0$.