Find all values of k for which the function y=sin(kt) satisfies the differential equation y′′+16y=0. Separate your answers by co mmas. isn't the answer just ±4?
1 answer:
Answer:
0, 4, -4 and they may want you to mention formally all the kt multiples of .
Step-by-step explanation:
Let's do the second derivative of the function:
So now we want:
Then we have to include the zeros of the binomial ( ) which as you say are +4 and -4, and also the zeros of , which include all those values of
So an extra one that they may want you to include is k = 0
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