For your particular solution try a constant: For instance if your equation is with constant then if we have that is a solution. If you want to you can think of this as a trivial application of the indeterminate coefficients method.
I am struggling to solve this question ..
I know how to solve non-homogenous 2nd ODE if we have cos, sin and exponents .. but for in this question, we have a constant term.
I replaced the constant term by k for the particular solution .. is it wrong ?
Please see attached working.
A second order differential equation is given by 3.7(d2x/dt2t +3dx/dt+2x)=0.8, with initial condition x(0)=-1 and dx/dt(0)=-2. Solve the ODE and hence compute x(2.9). Give the answer to 3 decimal places.
Correct answer is -0.114
How do I get that answer ? what am I doing wrong ?
For the rest you have where is your part. sol. Now given the initial conditions you have to determine and (It's easy although a bit tedious, you'll end with a linear system of two equations with two variables and ) and once you have them just evaluate.
im sorry but im still not getting the right answer ..
This is the first time im doing 1st and 2nd order differentials so its kind of new to me.
I will go watch some educational youtube videos about the subject and hopefully ill understand ..
If you can please explain this more thoroughly, then please do, Im not forcing you or anything, you decide to if you want to or not