MATH 2574H Lecture Notes - Scilab, Linear Algebra

Solve the problem. Evaluate aw att-4 for the function w(x, y) = ey-In x; x = t2, y = In t. dt 2 3 2

Find the solution of the second-order linear differential equation that satisfies the given initial conditions. y" + ey' + 16y 。 y'(0) 1 y(x) =

3) Solve y? + y? ? 2y = 2x , y(0) = 0, y?(0) = 1 following these steps a) find homogeneous solution, b) find nonhomogeneous solution with method of undetermined coefficient with constants evaluated. c) combine homogeneous solution with nonhomogeneous solution to form the generatl solution. d) calculate the unknown constant in homogeneous part of the general solution with initial conditions. (10 points)