Welcome to Mrs. Young's calculus class blog! Each week, I will start a new post. Students, you can write questions for me or chat with each other about how to solve a particular problem. As part of your class participation grade each week, every student must comment at least once to my post or another student's comment. I look forward to spending this year with you. Enjoy!
Sunday, February 17, 2013
February 18th - 22nd
I hope you had a great 3 day weekend! This week we are going to learn how to solve more difficult differential equations by using separation of variables. For this post, 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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C=2, y= In(-cosx +2)
ReplyDeleteI think a separable differential equation is the way how to solve the difficult differential equations. When you use a separable differential equation, you need to separate the equation by Y side and X side. Next, integrate both side and find C. For solving equation, you need to separate the equation. So its name is a separable differential equation.
Great job Bonnie! That answer is correct. You will receive a couple points extra credit.
ReplyDeleteA separable differential equation is how to solve a diffrential equation. The equation is called a "separable" differential equation becuase we can separate the two variables x and y. And then integrate both sides.
ReplyDeleteSolving separable differential equation is necessary when the given differential equation has more than one variable. It is called a "separable" differential equation because in order to solve it, the variables must be separated and integrated separately. You find the integral of the y side separately from the integral of the x side which includes all constants, including C.
ReplyDeletea separable differential equation is where there is more than on variable. to solve this you must separate the two variables and solve each integral individually. C always stays on the side with x.
ReplyDeleteA seperable differential equation is one that contains both x and y variables and is called seperable because it is necessary to seperate the two variables in order to solve the equation.
ReplyDeleteSeparable differential equations contain x and y and are solved by separating the two variables, then solving each integral individually.
ReplyDeleteA separable differential equation contains two variables (x and y) and it is necessary to separate the two variables in order to solve the equation. After you separate the variables to opposite sides then you have to integrate them individually while remembering to keep all constants and C with the X-variable.
ReplyDeleteIn a separable differential equation, instead of just one variable, there are two (x and y). You have to separate the two variables and solve them separately. dy needs to be on the side with the y, dx needs to be with the x. The C is always on the x side.
ReplyDelete