a) Write down the general solution of the differential equation dy/dx + 3y = 0.
b) Use a suitable trial function to find one simple particular solution of dy/dx + 3y = -6
c) Find the solution of dy/dx + 3y = -6 that satisfies y(0) = -5
Any ideas?
a) Write down the general solution of the differential equation dy/dx + 3y = 0.
b) Use a suitable trial function to find one simple particular solution of dy/dx + 3y = -6
c) Find the solution of dy/dx + 3y = -6 that satisfies y(0) = -5
Any ideas?
so the answer to a), the general solution to the differential equation is y(x) = kexp(-3x) ?
Or is this the answer to b), the trial function? If anyone knows a good tutorial for the use of trial functions in this context it would be appreciated as i cannot seem to find any.