Post a New Question

math

posted by .

d^2y/dx^2=1-dy/dx
am i allowed to rearrange this to d^2y/dx^2-dy/dx=1 and say this is a linear ODE

  • math -

    Using the notation
    y"=d²y/dx², and
    y'=dy/dx,
    you can write
    y"=1-y'
    as
    y"+y'=1, or
    y"+y'-1=0

    It is a linear ODE because the terms of the dependent variable, y, y', y", ... are linear in y, i.e. no terms contains (y")², or y³, etc.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    Are all linear equations functions. I'd say yes. Because both contain domain and range. But..not all are graphed linear. when is a linear equation not a function?
  2. Math

    Hello.I need to rearrange the following to make b the subject' a = 10/b-z. Im getting confused with how to rearrange when theres division involved.
  3. English

    Which kind of ode is "Ode on a Grecian Urn"?
  4. Chemistry

    How can i rearrange this Clausius-Clapeyron equation so that 1/T2 is on one side?
  5. English - Caesar & Antigone

    Can you check these questions? 1) Which is an example of verbal irony as spoken by Antigone?
  6. math

    Determine if the relationship represented is linear. x=5,10,15,20,25,30 and y=50,60,70,80,80,90 I could not find a relationship that worked for all the numbers so I would say it is not linear. Correct?
  7. Math

    Stupid question time. I need to figure out how to rearrange equations to solve for x in my chemistry homework, which involves putting equations in quadratic form first. But I can't for the life of me remember how to "rearrange" them …
  8. ELA

    In Antigone, Ode III discusses the dangers and power of love. What is love and what does it do, according to the ode?
  9. Math

    Use the initial condition y(0)=4 and step size h=.25, calculate the backward Euler on [0,1] for the ODE y'=10y-10y^2. Solve the ODE exactly and compute the errors at t=1.
  10. ODE Piecewise

    Solve the piecewise linear ODE, y' - y = f(x), y(0) = 1, where f(x) = 1 when 0 \le x \le 1 and f(x) = -1 when x > 1. What is y(2)?

More Similar Questions

Post a New Question