# Thread: help with a Differential Equations

1. ## help with a Differential Equations

good morning every one
i had this Differential Equation in a physic problem and i need it solution so it would be great if you could help the Equation is

y'=a+cos(y)*x

where - a - is a constant

and thank you for your time

2. ## Re: help with a Differential Equations

good morning every one
i had this Differential Equation in a physic problem and i need it solution so it would be great if you could help the Equation is

y'=a+cos(y)*x

where - a - is a constant

and thank you for your time
There's no closed for solution that Mathematica could find.
I looked at numerical solutions for a in the range of -5 to 5, with initial values of -1, -0.5, 0, 0.5, 1
The solution is pretty dependent upon the value of a.
Not so much on the initial value of y(t).

In general the solutions overshoot a final value and then settle back to it but without ringing. That final value depends on a.

3. ## Re: help with a Differential Equations

thanks man
but
a = 10
and y is a function of x , y(x)