Question

Please show all the details steps, and give a brief explanation in part C. Thank you very much!

This problem involves the homogeneous differential equation

i: _ 6.1. 0 that you

considered in part a of the previous problem. (a) Find the general solution of i - i- 6r--25 sin(4t) ( b) Find a particular solution of _ T -6x-12e-3t 12e-3t-25 sin(4t). How is this general solution related to the particular solutions you found in the previous parts of this question? Can you add these particular solutions together with arbitrary (c) F nd the general solution of x - x -62、 coefficients to get a new particular solution? (d) (Sense-making: Check your answer) Explicitly plug in your final answer in part e and check that it satisfies the differential equation

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Answer #1

Part (e) was not given and so part (d) couldn't be solved since reference is made for next part. All the final answers are boxed.Kolaborn@ a -..,ー60,2-25.sinfyt/__:0 then Put+ in 25-16 A +18-6A18-22A 너 25 Lo then ed inExpt. No. Date Page No. -3t r3f ウ) 3 2 2 5 10 Teachers Signature

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