Working with Differential Equations
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For this problem please state the method you used and show the work required to obtain the answer.
Find the complete solution to this equation problem.
y^3 - 2y^2 + y^1 = 2- 24e^(x) + 40e^(5x)© BrainMass Inc. brainmass.com June 7, 2023, 2:19 pm ad1c9bdddf
<br>y^3 - 2y^2 + y^1 = 2- 24e^(x) + 40e^(5x) ....(1)
<br>First set the right side equal to 0 and find the solution as in the
<br>case of a homogeneous equation (this is called complementary function
<br>y1) and then by trial find a particular solution (particular integral
<br>Now the general solution is given by,
<br> Y = y1 + y2
<br>First evaluate y1
<br>y^3 - 2y^2 + y^1 = 0
<br>ie, y (y^2 - ...
Step by step guide to the final answer.
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