find-laplase-transform-of-the-function-f-t-sin-2-t-cos-3-t- Tinku Tara June 4, 2023 None 0 Comments FacebookTweetPin Question Number 103563 by mohammad17 last updated on 15/Jul/20 findlaplasetransformofthefunctionf(t)=sin2tcos3t? Answered by MAB last updated on 15/Jul/20 f(t)=(1−cos2t)cos3tf(t)=cos3t−cos5tf(t)=14cos(3t)+34cos(t)−(116cos(5t)+516cos(3t)+58cos(t))f(t)=18cos(t)−116cos(3t)−116cos(5t)L{f}(s)=s8s2+8−s16s2+144−s16s2+400 Answered by mathmax by abdo last updated on 16/Jul/20 f(t)=sin2tcos3t⇒f(t)=sin2t.cos2tcost=(12sin(2t))2cost=14sin2(2t)cost=14(1−cos(4t)2)cost=18cost−18costcos(4t)=18cost−116{cos(5t)+cos(3t)}⇒L(f(t))=18L(cost)−116L(cos(5t))−116L(cos(3t))butL(cos(wt))=∫0∞cos(wx)e−txdt=Re(∫0∞eiwx−txdtand∫0∞e(−t+iw)xdx=[1−t+iwe(−t+iw)x]0∞=−1−t+iw=1t−iw=t+iwt2+w2⇒L(cos(wt))=tt2+w2⇒L(f(t))=t8(t2+1)−16×tt2+25−116×tt2+9 Commented by mathmax by abdo last updated on 16/Jul/20 erroroftypoL(f(t))=t8(t2+1)−t16(t2+25)−t16(t2+9) Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: An-AP-has-41-terms-The-sum-of-the-first-five-terms-of-this-AP-is-35-and-the-sum-of-the-last-five-terms-of-the-same-AP-is-395-find-the-common-difference-and-the-first-term-Next Next post: In-AB-C-m-b-2-m-c-2-5-m-a-2-prove-that-A-90-m-a-median- Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.