Hello. Please include full solutions for all of these homework questions.

I am very confused about all of them and spent too much time and was not able to figure it out.

Any additional explanation included would be appreciated.

Thank you.

-Calculus 3 Course

Express the inverse transform as an integral: -38 ( 5 2 + 1 ) 2 Choose the correction option for the equation above. Please include all your work as well. Option a ) 8 - 6 Isin Tcos (t - T) dT O t Option b ) : - 3 Cos T sin ( t - T )dT Option c ) 6 - 3 T UST Sin ( t - 7 ) dT 0 Option d ) : - 6it sin T cos (f - T) d'T@ Find the Formula for the solution of the initial value problem. :5\" + 03' 615 =- 3%) 3(o)=':l_ / 3103::5 C3) Find a particular solution using undetermined coefficient for High Order Equations. Please show all your work and include any explanation needed. \"5"\"10'5\" + 513' _5Lrj= gg'fz-(iqr I551)