Question: HWF Due on 10 / 19 / 22 Fall 2022 MATH 2065 Find the general solution to the homogeneous cans by the method of the

HWF Due on 10 / 19 / 22 Fall 2022 MATH 2065 Find the general solution to the homogeneous cans by the method of the characteristic egg 1. y " + 3 4 + 24 = 0 2 . y + 4 4 = 0 3. '+ gy = 0 4 . 4 #1 - 84 + 25 4 = 0 5 3y " + 5 y' - 8y = 0 Find the general solution to the in homogeneous ean as y = y ty , where y is the general solution to the homogeneous ean and yo is a particular solution to the in homogeneous ean . For yo , use the IVP (ay " + By'+cy = f 7 3 (0 ) = 0 , 8' 1 0 ) = 0 and the Laplace transform method y " +by + 13 4 = e-3t cos2t 7. y" - 4y = eat 8. 4"+ 49' 4 +54 = e-2 t

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