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 3, 2013

February 4th - 8th

We are almost half way through the third quarter! This week we will begin chapter 6, which is all about differential equations. You will learn what a differential equation is in section one. We will have a short week together because of the late start on Monday and spiritual emphasis on Thursday and Friday. I have also decided to push back the due date of your 3rd quarter project to February 15th. For your post this week, I'd like you to describe in your own words what the difference is between the general solution and a particular solution to a differential equation.
Posted by at

11 comments:

  1. BenIvanFebruary 4, 2013 at 11:01 AM

    a general solution to an integral would be the anti derivative of the function plus the constant, C. for it to be a particular solution you would go back and plug the ordered pair to the anti derivative and solve for C and then plug that back into the solution for C.

    ReplyDelete
  2. AnonymousFebruary 5, 2013 at 10:54 AM

    The general solution is found by taking the antiderivative and adding C. For the particular solution you plug in the ordered pair into the general solution and solve for C. Once you get C then you rewrite the general formula while adding the new found C value. This then becomes your particular solution. Particular Solution requires a ordered pair, while general can be written with just a differential equation.

    ReplyDelete
  3. Mrs. YoungFebruary 5, 2013 at 10:57 AM

    More than just telling me how to evaluate a particular solution versus the general solution, I want you to tell me what the difference is conceptually, or graphically.

    ReplyDelete
  4. SarahDunn2013February 5, 2013 at 11:25 AM

    To find the general solution of a differential equation you have to find the antiderivative of the equation and then add C. For a particular solution, you find the antiderivative with C and then plug the given ordered pair in for x and y and solve for the value of C. When you find the general solution, you know the family of functions that are parallel to each other but are translated up and down on the y-axis. A particular solution gives the specific function that the given point is a part of.

    ReplyDelete
  5. UnknownFebruary 6, 2013 at 3:50 PM

    For the general solution of a differental equation, we should put plus C becuase we do not know there was number or not. However, the particular solution gives value of x and y so if we put the values and find C, we can know what was the regluar function corretly.

    ReplyDelete
  6. UnknownFebruary 6, 2013 at 5:39 PM

    When we solve the problem of general solution, we just need to find anti derivative. We do not need to find the number without X. however, when we solve the problem of particular solution, we need to find whole anti derivative include the number without X. Therefore, particular solution is more specific than general solution.

    ReplyDelete
  7. Isaac BarringerFebruary 7, 2013 at 7:39 AM

    C stands for chickens, and for a general solution you would just add C, not having a exact number of chickens that are in my chicken coop. But for a particular solution, we can plug all the numbers back in and figure out what C equals, so I can have an exact number of how many chickens are in my chicken coop!

    ReplyDelete
    Replies
    1. Mrs. YoungFebruary 7, 2013 at 7:43 AM

      Wow (sarcastically)...that's all I have to say.

      Delete
  8. Carly CannonFebruary 7, 2013 at 7:26 PM

    The general solution is the anti-derivative of the function and then you add C. On the other hand, the particular solution is when you find the anti-derivative of a function plus C then plug in the given x and y values and evaluate for C. Once you evaluate C you write your anti-derivative of the function and substitute C for what you found C to be.

    ReplyDelete
  9. Grace HillFebruary 7, 2013 at 9:24 PM

    When finding the general solution, the anti derivative needs to be found, and then after the equation put "+C", in which C stands for a constant. The added C indicates the potential placement of a constant at the end of the equation which would move the function up or down along the Y axis. The particular solution has an actual constant in the function instead of the +C. To find C, an ordered pair is given, and then the x and y coordinates are plugged into the equation. The general equation is just a family of parallel lines with an infinite amount of possibilities translated up or down the y axis, while a particular solution gives the exact translation of the function.

    ReplyDelete

Subscribe to: Post Comments (Atom)