Tbh depends how big the plate it
385. The 5 is in the ones place. To get the number for the tens place, add together 3+5=8 (5 is the number that is in the ones place). To get the number for the hundreds place, (5) is in the ones place so you would subtract 2 from 5 which is 3. The answer is 385.
$16.59, add all the prices together and multiply by 3
Use reduction of order. Given a solution , look for a second solution of the form .
Compute the first two derivatives of :
Substitute them into the ODE:
Now substitute and you end up with a linear ODE:
Multiply through both sides by (if you're familiar with the integrating factor method, this is it):
Bear in mind that in order to do this, we require . Just to avoid having to deal with absolute values later, let's further assume .
Notice that the left side is the derivative of a product,
Integrate both sides with respect to :
Solve for :
Solve for by integrating both sides:
Integrate by parts:
Solve for :
But since is already accounted for, the second solution is just
Still, the general solution would be