[理工] [工數] Fourier transform問題請教

[msu (do my best)]

有一題如下
Use the Fourier transform to solve the following differential
equation for real t.

y'-3y=H(t)e^(-3t) ,where H(t)={ 0,t<0
                              { 1,t>=0
請問這題如何解呢?
感謝^^

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→ honestonly:y'-->iwY,y-->Y,H(t)e^(-3t)-->1/(3+iw)