374: Solving Homogeneous Linear Differential Equations with Constant Coefficients
374: Solving Homogeneous Linear Differential Equations with Constant Coefficients
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Clear[x,y,c1,c2,c3,c4,c5,c6,Y]
Homogeneous Linear Differential Equations
Homogeneous Linear Differential Equations
Example 1: Solve (6)y-11(5)y+92(4)y-220y'''+203y''-65y'=0
Example 1: Solve -11+92-220y'''+203y''-65y'=0
(6)
y
(5)
y
(4)
y
Example 2: Solve the initial value problem (IVP): (6)y-11(5)y+92(4)y-220y'''+203y''-65y'=0;y(0)=1; y'(0)=0; y''(0)=-1; y'''(0)=5; (4)y(0)=-2; (5)y(0)=3
Example 2: Solve the initial value problem (IVP): -11+92-220y'''+203y''-65y'=0; (0)=-2; (0)=3
(6)
y
(5)
y
(4)
y
y(0)=1;
y'(0)=0;
y''(0)=-1;
y'''(0)=5;
(4)
y
(5)
y
Using DSolve to Solve Differential Equations
Using DSolve to Solve Differential Equations
Homework
Homework