Question

find the general solution of the given differential equation

1. y''−2y'+2y=0

2. y''+6y'+13y=0

find the solution of the given initial value problem

1. y''+4y=0, y(0) =0, y'(0) =1

2. y''−2y'+5y=0, y(π/2) =0, y'(π/2) =2

use the method of reduction of order to find a second solution of the given differential equation.

1. t^2 y''+3ty'+y=0, t > 0; y1(t) =t^−1

Answer 1

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