Question: Solve the following differential equations, using the initial conditions when applicable Problems: Solve the following differential equations, using the initial conditions when applicable 1. yi+

Solve the following differential equations, using the initial conditions when applicable

Problems: Solve the following differential equations, using the initial conditions when applicable 1. yi"+ 8y + 16y1 = 0, y(0) = 1, y (0) = 0 2. y2" - 3y, + 2y2 = 0, y2(1) = 1, y,(1) =4 3. y," + 8y + 17y3 =0 4. YA JV + 8yl + 16y4 = 0 5. y! - 729ys = 0*Solve the given Homogeneous Differential Equations with Constant Coefficients %Initialize the Variables to w 5 *Solve the equation y"+8y'+16y=0, y(0)=1, y' (0)=0. Save your answer as y1; 6 7 *Solve the equation y"-3y'+2y=0, y_2(1)=1, y_2' (1)=4. Save your answer as y2; Co 9 *Solve the equation y"+8y'+17y=0. Save your answer as y3; 10 11 *Solve the equation y^{IV) + 8y" + 16y=0. Save your answer as y4; 12 13 *Solve the equation y^{VI)-729y=0. Save your answer as y1; 14 15 16

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