Answer:
i used be so good at this now i suck because it's been awhile
Step-by-step explanation:
Answer:

Step-by-step explanation:
The given equation 5y'' + 3y' - 2y =0 can be written as

Solving for complementary function we have Roots of
as follows


Thus the complementary function becomes
y=
where
are calculated roots
thus solution becomes

Now to solve for the coefficients we use the given boundary conditions

hence the solution becomes

If you’re trying to find the value of x it is -5
Parallel lines have same slope, so first isolate y to get the equation into y=mx+b form.
-2x+3y=2
3y = 2x + 2

Now plug the point (3,4) into y = 2x + b
4 = 2(3) + b
Solves for be
b = -2
So the new equation is y = 2x - 2
The answer is unnecessary