Consider the differential equation. d2x/dt2-6dx/dt+9x=e3t. a) Suppose one solution of the corresponding homogeneous equation of is x1(t) = e3t By using the reduction of order method ), find the second linearly independent solution, x2(t). b) By using the method of undertermined coefficients, , find the general solution of this equation
Consider the differential equation. d2x/dt2-6dx/dt+9x=e3t. a) Suppose one solution of the corresponding homogeneous equation of is x1(t) = e3t By using the reduction of order method ), find the second linearly independent solution, x2(t). b) By using the method of undertermined coefficients, , find the general solution of this equation
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the differential equation.
d2x/dt2-6dx/dt+9x=e3t.
a) Suppose one solution of the corresponding homogeneous equation of is x1(t) = e3t By using the reduction of order method ), find the
second linearly independent solution, x2(t).
b) By using the method of undertermined coefficients, , find the general solution of this equation
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