1 Recall that cos(bt) = , 1 (etb : +e-i6t) and sin(bt) (eibt – e-ibe). 2i Use the linearity of the Laplace transform to find the Laplace transform of the function given below; a and b are real...


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1<br>Recall that cos(bt) = ,<br>1<br>(etb :<br>+e-i6t) and sin(bt)<br>(eibt – e-ibe).<br>2i<br>Use the linearity of the Laplace transform to find the Laplace<br>transform of the function given below; a and b are real constants.<br>Assume that the necessary elementary integration formulas extend to<br>this case.<br>f (t) = eat sin(bt)<br>NOTE: Your answer must be fully simplified. It cannot contain i.<br>L{f(t)}:<br>

Extracted text: 1 Recall that cos(bt) = , 1 (etb : +e-i6t) and sin(bt) (eibt – e-ibe). 2i Use the linearity of the Laplace transform to find the Laplace transform of the function given below; a and b are real constants. Assume that the necessary elementary integration formulas extend to this case. f (t) = eat sin(bt) NOTE: Your answer must be fully simplified. It cannot contain i. L{f(t)}:

Jun 05, 2022
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