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7t (#.# th2 ave ivP lution (4/ J =dayhdat(Fiox 2 exelc ( & 50+h)01...

Question

7t (#.# th2 ave ivP lution (4/ J =dayhdat(Fiox 2 exelc ( & 50+h)01

7t (#.# th2 ave ivP lution (4/ J = dayhdat( Fiox 2 exelc ( & 50+h) 01



Answers

Solve the intial value problem.
$(1-t) \frac{d y}{d t}-y=0, \quad y(2)=-4$

Of this initial value problem. Let's integrate. So we have s equals and Billy could rewrite the STT as three t squared minus to t. So it's easier to integrate. We get t cubed minus t squared, plus c a constant. And we have to find sea by plugging in r point as equal zero teeples one if you plug that in zero equals one cubed is one minus one squared is one class c and we get that C just equal zero so we can rewrite as us s equals key cubed minus T squared plus C again or plus zero So we don't have to do anything and then this is our solution.

Even at the consulate visit by Jessica for excess were buying. Also ever given in still building. Why have you people You saw his defensively with using that very loose a paper which means meeting the y venir. But once there and next belabor this here we were picking the Bible you left inside so much like both sides by y didn't get white. No misapply this we in the right way normally, like most said that being in the new year, why be waiting for expert big big reason I will say here will apply the power of up So what is the problem? Borrow when expert about any beer then that this integrates a stripper and plus one divided in pleasant Let's see, not like this from that care they get why is what right? Extra weight feeling Let's see what this baker's in the but not like in the video here Geo. So you get to see why you get the whole square divided right? Food holding. It's a do you know if you do whenever you now why the big by a Jew? It's to get you to report or get back and see one good news get Why is wet by who? Four x cubed plus no can put the bill up. Why so much? LeBeau said. By whom they get bias by it. X freeway Really less hope. No big brother described. Then get Why gun that it it skills did I Didn't TV less world Get back to find an answer. Behave in different thank you.

De even that Diplomats Alec Visa. Why, this is fun for y Divided. Very expressive. Also, we ever given initial value Why you have minor dirigible one We'll solve this difference Militarism using the baby of a separate. But which means will take by variable one side and next Really about other side. So pastorally bad musik by four way Then you get here Hold the light and the bliss of why destiny in today I love you one day four light the missile Why this you do eBay dear They're not required to divide the poor way we can be righted one Lee bite. Why should they get or by explicit normally apply both side by B X Then you get what one bed Why would be way? It's a gun before by explicit city in do beer's not being vigorous. Um, both stay. I didn't know in paganism off the cancer one day explorers be into being physically do it explicit Be Let's see So like this from with that hair Then you get And then why? For Ellen X plus city Let's see, not make us, um one Napoleon a physical minus two in this dresser Bennett get yr minus two. You can four billion minus to plus Didi less. See Wyoming had to build off. Why all my courage Want so I am one you could before, Ellen. One area c g. So here. Here. Did you tickle poured into general policy with biopsies. Do not belong in the middle of sea. In the visa one gonna get. And then why is it going before Ellen Explosive TV? Bless you. No, did I? And then why here? And for Ellen? It's Blustein now, using the poor party job. No, you get right here! Immunological Ilian! Explosive Teaching enough power. Who then really moved that? No, From the both side. Then you get invited to explain Ticket A power. So that solution of that, the plant cell it is. Thank you.

In this video, we're gonna go through the answer. It's a question of a 23 from chapter 7.5 to us to find the solution in the class space off this initially problem so that in her Virginia's on the right inside this function G is a piece wise, continuous function, meaning that the transform least exists that show. Um, let's just first workout. What little class transform off off dysfunction? G is okay, so it's the integral from north to infinity off e minus s t times J did see. Hi, guys. This is gonna be split up into two into Goes not to to t minus. Testy Did see plus Thio Infinity 05 He's the man Necessity, Petey His first term at so it's first integral. We can use intubation my parts So it's going t times One of the minus s eats the minus s too. So with left the tears that isn't on with integrated the e to the minus zesty that's evaluated it zero to minus the integral off differentiate t. This is just one ah times by the integral of beat the fantastic. That's times by minus one of s the minus the minus becomes a plus. Introducing 02 off E to the minus two. It's the minus s. We could take a five. Oh, this, uh, right hand it to go on, Dhe. Let's see. We're gonna have one over minus s. Okay, a to the minus. S t between team an affinity. Okay, this first term, when it's evaluated, T is equal to zero. Then that time's gonna be zero. So we just need to do that too. Minus two over S E to the minus s. Who's the minors to this, uh, this next into grow. It's one of s outside, minus one of S E to the minus esty between zero and two. When s what is equal to infinity? This right hand term zero. So we only need to do. Have I wasted too? That's where the fire of S E to the minus s t needs a minus. Started. Take Bess, but Ty's equals two. Okay, So this guy, this guy could be combined to be three of S e to the minus. Tootie on DDE there's a tear in the middle is equal to minus Gonna best squid sense e matters to us. plus one. Okay, so now we have that as I were, we must transform of the right inside. So we take those responsible off the whole equation. Whole different equation on using standard questions for rules. That's s squared times. Why, big wise, the Rebus transform off. That's why. Then, minus minus warms. That's plus one times desk. Then the initial. Why prime is zero that cost four times why that's equal to this three of us eats the minus 22 minus one of s squared a monster. T this one. No, I think I've got my essence of my teeth mixed up here one second. Okay, so this team should be on Bess. Maybe because you're now in the bus space. Yeah. This tea on this too. Uh huh. Should be SS. Okay, that could be arranged for counsel. Why? So we're gonna have three of s East Minister to s minus one of us squared. Ease the minds to us. Maybe that's what Because attract us about sides. Divide by the coefficient. Why? Which they're squared. Plus four. Okay, just write this out slightly more neatly. Bust three times s times E to the minus two s So we're doing here is most blank denominator numerator by a squared as a minus E the miners to U s minus one minus s to the par three old wide by s squared Times Square. Possible, huh? On that is our solution into space.


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