WeBWorK Homework For Exam 1 (final submission due 20 September 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 18 October at 11:59PM)
HW4 - Higher order and linear independence and reduction of order
For Exam 3 (final submission due 15 November at 11:59PM)
For Final Exam (final submission due 12 December at 11:59PM)
Quizzes For Exam 1
Quiz 1 [soln] (due 25 Aug at 11:59PM): Find the interval of existence and uniqueness for solutions to the problem $\left\{ \begin{array}{ll} (7t-2)y'+ty=\cos(t) \\ y(-5)=4 \end{array}\right.$.
Quiz 2 (due 27 Aug 28 Aug at 11:59PM): Consider the IVP $\left\{ \begin{array}{ll} y'=y+\sin(t) \\ y(0)=1.5 \end{array}\right.$. Use Euler's method (on a spreadsheet or by writing code) to numerically approximate the solution of this IVP with $h=0.5$ for $t \in [0,4]$. Your submission should include BOTH your spreadsheet (or code) and the plot as an image. The spreadsheet from the 26 August class is here.
Quiz 3 [soln] (due 1 Sep at 11:59PM): Consider the differential equation $y'=y^2+4y-21$. Find the critical points (aka equilibrium solutions) and classify each as asymptotically stable, semistable, or unstable.
Quiz 4 [soln] (due 3 Sep at 11:59PM): Solve the differential equation $y'=(t^3+1)(3y+7)$ using separation of variables.
Quiz 5 [soln] (due 5 Sep at 11:59PM): Solve the initial value problem $ty'+2y=\dfrac{\sin(t)}{t}, \quad y(\pi)=4$.