MATH 222 Quiz: MATH 222 UW Madison Quiz7 ans

Math 222: Diff. Eqns. Common Exam 3 November 29, 2017 2. (15 points) Solve the initial-value problem for the Euler differential equation: x2y"(z) + 3ry'(x) + 2y(x) = 0, y(1) = 1, y(2)-1, and describe the behavior of solutions as z→0+.

Common gns Math 222: Diff. Eqns. Common Exam3 November 29, 2017 for the initial 1. (20 points) Construct a power series solution, including terms up to value problem "(x) y(x) +2ryx+1; y(0) = 3;y' (0) = 1.

Math 222: Diff. Eqns. Common Exam 3 November 29, 2017 4. (15 points) Use the Laplace transform to solve the following initial value problem. "+4y-26(t 5) Sus(t), y(0) = 0, y'(0) = 4.