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Solve the initial value problem below using the method of Laplace transforms. y'' - 12y' +45y...

Solve the initial value problem below using the method of Laplace transforms. y - 12y +45y = 39 e 4t, y(0) = 3, y(0) = 15

Solve the initial value problem below using the method of Laplace transforms. y'' - 12y' +45y = 39 e 4t, y(0) = 3, y'(0) = 15 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. y(t) = (Type an exact answer in terms of e.)
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Quee ylizy +484 = 3ge at 4(0)- ay(o)=15 dyt sees)-yeo) mering R$ } o s2 Yee) -s Yeo) -y.com - 5-4 Take saplace transformA Bro, Ca 3, no YOS) 2 3 S-4 + 2 125 +45 - Set 125 +36-36405 Yn = 3 + cajet 52 3 + 3 (6-6)2 32 S-4 ylt) = 3e4 on37 ) 3 e 4th

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