- 3)²y" (x) - 3(x-3)y'(x) + 3y(x) = 2(x-3)^e², x > 3. Verify that y₁(x) = (x-3)³ is a particular solution of the homoge

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...
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Solve for y2 by using reduction of order 

And for nonhomogeneous using undetermined coefficients

 

 linear mathematics 

(r-3)2y"(1)- 3(z-3)y'(x) +3y(z) = 2(-3)*e, I > 3.
] Verify that y1(z) = (2-3) is a particular solution of the homogeneous
s1 Use the reduction of order formula to find a second linearly independent
solution for the homogeneous equation.
Determine a general, solution of the homogeneous equation.
s] Solve the nonhomogeneous equation.
Transcribed Image Text:(r-3)2y"(1)- 3(z-3)y'(x) +3y(z) = 2(-3)*e, I > 3. ] Verify that y1(z) = (2-3) is a particular solution of the homogeneous s1 Use the reduction of order formula to find a second linearly independent solution for the homogeneous equation. Determine a general, solution of the homogeneous equation. s] Solve the nonhomogeneous equation.
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