Question: DIFFERENTIAL EQUATIONS: {5) Consider the differential equation 2. 22y (22 + 2z)y + [z + 2y = =t Verify that y; = = is

DIFFERENTIAL EQUATIONS:

{5) Consider the differential equation 2. " 22y (22 + 2z)y + [z + 2y = =t Verify that y; = = is one solution of the associated homogeneous equation. Then show that the method of reduction of order leads to a second solution s of the homogeneous equation as well as a particular solution gy, of the non-homogeneous equation. Solution

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