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
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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

 

dr
6.
+ 9r = et.
dt2
dt
Transcribed Image Text:dr 6. + 9r = et. dt2 dt
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