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

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- February 25th 2014, 10:24 PMabdelwadoudhelp 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 - February 26th 2014, 12:05 AMromsekRe: help with a Differential Equations
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. - February 26th 2014, 02:33 AMabdelwadoudRe: help with a Differential Equations
thanks man

but

a = 10

and y is a function of x , y(x) - February 26th 2014, 04:13 AMromsekRe: help with a Differential Equations
Attachment 30252

a graph of the solution with a=10, y(0)=0 - February 26th 2014, 05:44 AMabdelwadoudRe: help with a Differential Equations
i appreciate that man thank you