math
posted by flame .
d^2y/dx^2=1dy/dx
am i allowed to rearrange this to d^2y/dx^2dy/dx=1 and say this is a linear ODE

Using the notation
y"=d²y/dx², and
y'=dy/dx,
you can write
y"=1y'
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
Similar Questions

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? 
Math
Hello.I need to rearrange the following to make b the subject' a = 10/bz. Im getting confused with how to rearrange when theres division involved. 
English
Which kind of ode is "Ode on a Grecian Urn"? 
Chemistry
How can i rearrange this ClausiusClapeyron equation so that 1/T2 is on one side? 
English  Caesar & Antigone
Can you check these questions? 1) Which is an example of verbal irony as spoken by Antigone? 
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? 
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 … 
ELA
In Antigone, Ode III discusses the dangers and power of love. What is love and what does it do, according to the ode? 
Math
Use the initial condition y(0)=4 and step size h=.25, calculate the backward Euler on [0,1] for the ODE y'=10y10y^2. Solve the ODE exactly and compute the errors at t=1. 
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)?