There are 4 equations to solve and they are :
y(0) = 0 ---> A +B + C = 0
y(pi) = 0 ---> Ae^pi + Be^(-pi) - C = 0
y'(0) = 2 - -> A - B + D = 2
y''(0) = 0 ---> A + B-C = 0
Ahh, thank you. I think I knew this, I suppose I just need some clarification. I do believe that y = 2sinx is the only thing that is left after applying all of the intial conditions. Thank you much. =)
So far, my only success at this problem has been when y = 2 sin(x). And i believe that's the end of it. I was just looking for some mathematical way to solve the system.
It doesn't work because y(0) is never going to be zero, unless the coeffcient in front of it is 0, this y=0. However, usually this is a trivial solution, but in this case that doesn't even work because y'(0) is not = 2
Homework Statement
(d4y)/(dx4) = y. Find the Unique solution y = y(x).
Homework Equations
Boundary Conditions: y(0)=0, y'(0) = 2, y''(0) = 0 , y(\pi) = 0
The Attempt at a Solution
I really don't know where to start. I first started off with the guess that y = c1*sin(Ax) +...
Homework Statement
An ice cube of mass 36 g at temperature -10 Celsius is placed in 360 g of water at 20 Celsius. Find thermal equilibrium temperature. \DeltaH(fusion) = 6.007 kJ mol\wedge-1.
Molar heat capacity of ice = 38
water = 75 (Joules)/(K mol)...
Yeah, I'm aware of that, but the only reason I posted anything on here was so that the people who use google to search the physics forums have something when they do find this.
Besides... that's how I got here, lol
Alright. So, first of all, you should know that the moment of inertia of a rectangular plate, axis through the center of the plate is:
I = (1/12)*M*(a^2+b^2)
1. Simply, for a square it would just be (a^2+a^2) or (2a^2)
2. Then, we find moment of inertia from the parallel-axis theorem...
Alright. So, first of all, you should know that the moment of inertia of a rectangular plate, axis through the center of the plate is:
I = (1/12)*M*(a^2+b^2)
1. Simply, for a square it would just be (a^2+a^2) or (2a^2)
2. Then, we find moment of inertia from the parallel-axis theorem...