Question

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Do not press Submit until all questions are colored green and you have double checked your work. Use the Laplace transform to solve the initial-value problem: [y' + 3y = 5 cos(3x), y(0) -4] a) O (x) = coal 3 x) + sin( 3 ) + 402134 b) Oy(x) =20 - com(3x) + sin(3x) - Oy(x)=300432) + sin(32) - * d) O y(x) = 5 cos(3x) + 4 e) O y(x) -5 cos(3x) -4e3* 1) None of the above. Review Later Question 14 Use the Laplace transform to solve the initial-value problem: L" + 5y' +4y=2e St y(0) -4, y '0) =3] a) O (0) -47*+25* b) Oy(x) = qe + esse** c) Oy(x)=4&*+25–3* 1) O y(x) =***+ e*-* - O x()=-******* Nemathebes

Answer 1

my! +34 = 5 Casino taling Laplace traugnation S415) - 910)+391592 5. or. (S*3 )*5) -4 = , sive yogau. or: 40895 en 43(*3] .YLE) Toyota Listing Fisting Y(5) Fevereign + tists taking inverse Laplace traupmation . we get o nes. Sius (34) + 19 e 3x optius a

y" +54 +4y=26.54 taking Laplace traufnatius Sr Y (8) - sy(0) - y10) 455465) - 5910)+4¥() = ac. (s*+Ss+u)463) =45-3-20 = 575 Sinee 7103=4, y'ro) = 3. or. Y63) = 45+23+75) (5753+4) 45+23 sav) (80* (532)6324354 = 1. st. - stw at isang bisitas = + 1sts - 3.5ty lists + sts - 3. stue. taking inverse Laplace trausjunatim: y (t)= 12 / e-" + £ e-sh_3e-4n . option e