5

Find solution:dy/dx+y=xy^3...

Question

Find solution:dy/dx+y=xy^3

find solution: dy/dx+y=xy^3



Answers

Solve. If no solution exists, state this. $$y-\frac{14}{y}=5$$

Okay. This time they give us the problem. Nine over. My instinct is equal to two over W Now we can multiply both sides by the least common denominator. W and we're going to end up. It is nine minus three is equal. Teoh. Okay, now let's see. We have subtract both sides by name. Teoh Negative. Www is equal to your negative. So the fight both sides by negative rating to get someone over there. And that should be our solutions. That double check with the original Well, the original is only undefined that zero. So it works here. So 7/3 is our reservations that

In this problem we're going to solve 15 times A is equal to 45 and we're trying to find out what A is equal to Soto. Isolate a get it by itself. We need toe undo the multiplication of this 15 right here. And because division is the opposite of multiplication, we're gonna divide by 15. Anything we do to one side of the equation we need to do to the other side. So 45 also gets divided by 15 15 and 15 cancel each other out since 15 times 50 or 15 divided by 15 is one. So we would only be left with one over here and on this side 45 divided by 15. That's equal to three. So we have one times a is equal to three. Well, one times a is just equal to a suite of a is equal to three. But we need to check our answer as well need to prove that it works. So plugging into the original equation 15 times a is equal to 45 we're going to plug in three, gonna take this number and plug it in for a That would give us 15 times three is equal to 45 and 15 times three is in fact, you equal to 45. 45 equals 45. So we're all set, meaning this is the correct answer.

Okay. Were given what I got to. Why three minus y or why? So could you go to hell me to write it in a form that would, you know? Well, what we have to do is we need a one here, but we'll have a tree right now. So let's factor out of three. You get six y one minus y repartee, and now we do have it in deployment. What sixes, Kay? Three is a so we can rewrite it as flying musical Thio A, which is three over one morning being to the major six, which is K G oversee. And we know that Y zero was equal to 10. What you could to three over one, minus each of the neck of six times. So oversee that. Use me 10 three over one minus. You two deserve is this song. So that's you to give this one. So we have one oversee. Okay. Multiplying by 101 minus one. Overseeing both sides. We get 10 minutes. 10 over. See you. Good to drink. That is me. 10 Oversee is a good indicator of seven and that c it's equal to seven over. So now that we have C Let's get back into our equation. There's one over here looking and see. And this is what we're gonna targeted Our solution that we need. So we have y t difficult to three over one minus b *** 16 and R. C is seven. It's someone over territories of 10 7 So we have. If you multiply by seeing both sides, you get 10. You could do with a seven. See, when the fighting by negative seven. We get cuz go to 10 overs. Yeah. Sorry about that. I swapped it. So no. If it's one oversee, we get that it's seven or pretending get severed all the time. So this is our solution.

We were given the equation. Two a equals zero. So currently a is being multiplied by two. So I want to do the opposite to get a by itself on one side of the equation so we can find what is able to. So I'm getting to the opposite, which is dividing by two. Because to divide by two just leaves was leaves us with a on one side, played a on my left, and zero divided by two, which is zero on my right. Um, I'm gonna double check. This is correct. By putting zero back in where a waas. Okay, so I have two times they would you think zero equals zero? Is this true? Two times zero is zero. So our solution is a equals zero.


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