8.2.1. Solve the heat equation with time-independent sources and boundary conditions ∂u ∂t = k ∂ 2 u ∂x2 + Q(x) u(x, 0) = f(x) if an equilibrium solution exists. Analyze the limits as t→ [infinity]. If no equilibrium exists, explain why and reduce the problem to one with homogeneous boundary conditions (but do not solve). Assume Haberman, Richard. Applied Partial Differential Equations with Fourier Series and Boundary Value Problems, (Pearson Modern Classics for Advanced Mathematics Series) (p. 346). Pearson Education. Kindle Edition.

answer:

sometimes

*i think

i use my brain for prombles like this maybe you could try it

step-by-step explanation:

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12

so the possibilities of the measurement of the side of the triangle are either it is longest side or not the longest side

when it is the longest side

s < 25 + 35s < 60

if it is not the longest side

35 < 25 + s10 < sso 10 < s < 60so the perimeter70 < p < 130