MATH225-Project 4 Solved

1) Find the solution of the IVP

 

with x(0) = 0,y(0) = 1,z(0) = −1.

2) Find the general solution of the non-homogeneous differential equation y(4)−4y(3)+15y00 −22y0 +10y = 2cos2x+ex. Determine the complementary solution yc and particular solution yp. DO NOT EVALUATE THE COEFFICIENTS of yp.

3) Solve the 2nd order non-homogeneous differential equation x2y00 + xy0 + y = lnx,x > 0.