math11111111

Determine the solution for the homogeneous linear second order differential equation y" - 2y' + 2y = 0 with the initial conditions y(0) = 1 and y'(0) = 0. Answer: i) y = e (cosI - sinI) ii) y = e" (-cosr - sinI) iii) y = e2 (cos r - sinI) iv) y = e" (cosr + sinI) v) y = e"(cosI - sin I)