Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Transcribed Image Text: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. yı" + 8y + 16y₁ = 0, yı(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. yy-729y5 = 0
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