Solve the given initial value problem. Write your final answer as a piece-wise defined function. 2. y′′+3y′+2y={0,2,​0≤x<5x≥5​;y(0)=0,y′(0)=−1 3. y′′+4y=⎩⎨⎧​0,4,0,​0≤x<ππ≤x<3πx≥3π​;y(0)=1,y′(0)=4 4. y′′−4y′+3y={0,6,​0≤x<2x≥2​;y(0)=−1,y′(0)=1 5. y′′−4y′+4y={−4,0,​0≤x<1x≥1​;y(0)=1,y′(0)=3 6. y′′−4y′+4y={4,4x,​0≤x<1x≥1​;y(0)=0,y′(0)