Sunday, February 5, 2012
Week 6!
Welcome to week 6 of the 3rd quarter. I hope you enjoy watching the Super Bowl this weekend! Please remember that your Calculus wars videos are due this Friday. There will also be a chapter 6 test on Thursday. For this week, I'd like you to describe in your own words what a separable differential equation is and why it is called a "separable" differential equation. Also, you can watch the video at the right and whoever responds first with the correct answer to the separable differential equation in the video will receive a couple points extra credit. However, I'm going to give you the initial condition of (0, 0) because I want you to find the particular solution that passes through the origin. Enjoy!
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A separable differential equation is one where you can separate the two variables(x and y) to two sides of the equation.. solving/integrating them separately. The answer to the problem from the video with an intitial condtion of (0,0) would be y=ln(-cosx+2)
ReplyDeleteGood job Krista. That answer is correct. You will receive 2 points extra credit.
ReplyDeletethank you:)
Deletethe separable differential equation is the way we solve for the equations that have X and Y in the same time. we make Xs and Ys to two side, then solve it.
ReplyDeleteA separable differential equation is one that involves both an x and y variable. You have to "separate" them on either side of the equation and integrate each side by itself. You solve for y algebraically and you will have your answer.
ReplyDeleteThe separable differential equation is that includes x and y, so you have to separate from each other and integrate separately. After that, you should add +c next to x variable and solve for y.
ReplyDeleteA separable differential equation is an equation that has both an x and a y. It is called this because you have to separate the x and the y by putting them on different sides of the equation before integrating. Then you add the C to the x side, and solve for y.
ReplyDeleteA separable differential equation is making differential equation which has x and y on both side to be y=ax+c form(original formula). This separate x and y so may it called separable.
ReplyDeleteA separable differential equation is a method of finding the original function when both x and y are in the derivative form. You move all the y's on one side and x's to other to solve the equation. This is why the equation is called "separable".
ReplyDeleteA separable equation is when you have both an x and a y in the same problem and must separate them to solve it.You must also add c the side with the x.
ReplyDeleteA separable differential equation is a way to make solving a differential equation easier. You split it up the sides by the variables before you integrate. It is called separate because you are separating the intergal into two different differential equations and are separating the variables from each other.
ReplyDeleteA seperable differetial equation is an equation with two variables (x and y) in which you must seperate each variable by moving all of they y's to one side and all of the x's to the other side. After that you integrate the two sides seperately and solve it from there.
ReplyDeleteA seperable differential equation is the most easiest way to solve a differential equation. This is called seperable because we split X and Y to different side. By separating X and Y to different side, we can solve equation original function when the function is in derivative form.
ReplyDelete