Homogeneous Differential Equation with Constant Coefficients Can somebody help me with this problem? I don't know what p

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Homogeneous Differential Equation with Constant Coefficients
Can somebody help me with this problem? I don'tknow what part of the script gives me the wrong values etc.Thank you in advance.

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Homogeneous Differential Equation with Constant Coefficients MATLAB can solve differential equations using the dsolve command. dsolve Symbolic solution of ordinary differential equations. Example: syms y(x) Dy(x) = diff(y) D2y(x) = diff(y, 2) yGS1 = dsolve (D2y+2*Dy+y==0) yGS2 = dsolve (D2y+2*Dy+y==0, y(0)==-1, y(0)==2) Problems: Solve the following differential equations, using the initial conditions when applicable 1. y₁" + 8y₁ + 16y₁ = 0, y₁ (0) = 1, y₁ (0) = 0 2. Y₂" - 3y₂ + 2y2 = 0, y₂(1) = 1, y₂ (1) = 4 3. y3" + 8y₂ + 17y3 = 0 4. y + 8y + 16y4 = 0 5. y-729y5 = 0
Script 1 %Solve the given Homogeneous Differential Equations with Constant Coefficients 2 %Initialize the Variables 3 clc, clear all 4 syms y(x) 5 Dy(x)=diff(y); 6 D2y(x)=diff(y, 2); 7 D3y(x)=diff(y, 3); 8 D4y(x)=diff(y, 4); 9 D5y(x)=diff(y, 5); 10 D6y(x)=diff(y,6); 11 % Solve the equation y"+8y'+16y=0, y(0)=1, y' (0)=0. Save your answer as y1; 12 y1=dsolve (D2y+8*Dy+16*y==0, y(0)==1, Dy (0)==0) 13 %Solve the equation y"-3y' +2y=0, y_2(1)=1, y_2¹ (1)=4. Save your answer as y2; 14 y2=dsolve (D2y-3*Dy+2*y==0, y(1) ==1, Dy(1)==4) 15 %Solve the equation y"+8y' +17y=0. Save your answer as y3; 16 y3=dsolve (D2y+8*Dy+17*y==0) 17 % Solve the equation y^{IV} + 8y" + 16y=0. Save your answer as y4; 18 y4=dsolve (D4y+8*D2y+16*y==0) 19 %Solve the equation y^{VI}-729y=0. Save your answer as y1; 20 y1=dsolve (D6y-729*y==0) Save C Reset MATLAB Documentation ▶ Run Script
Assessment: 3 of 10 Tests Passed (30%) Y1 * Y2 Y3 * Y4 * Y5 Derivatives Derivative Initialization Function Use Function Use Submit 0% (10%) 0% (10%) 0% (10%) 0% (10%) 0% (10%) 0% (10%) 0% (10%) 10% (10%) 10% (10%) 10% (10%) Total: 30%
Output y1 = exp(-4*x) * (4*x + 1) y2 = -exp(-2)*exp(x) * (2*exp(1) - 3*exp(x)) y3 = C1*exp(-4*x) *cos(x) - C2*exp(-4*x)*sin(x) y4 = (1*cos(2*x) - C3* sin(2*x) + C2*x*cos(2*x) - (4*x*sin(2*x) y1 = C1*exp(-3*x) + C2*exp(3*x) + C3*exp(-(3*x)/2)*cos((3*3^(1/2) *x)/2) + C5*exp((3*x)/2)*cos((3*3^(1/2)*x)/2) - C4*exp(-(3*x)/2)*sin((3*3^(1/2) 4 © 2020 The MathWorks Inc.