Illustrating the experimental way that an engineer studies systems, even abstract, mathematical systems.

#Illustrating-the-experimental-way-that-an-engineer-studies-systems,-even-abstract,-mathematical-systems.

Find a closed form for the output signal when the impulse response is fed into the following equation: @@0@@

Brief Conclusion

#Brief-Conclusion

Since we guess @@0@@, and we calculate @@1@@ as @@2@@ grows larger, we found that @@3@@ approximates 4, thus @@4@@ equals 4

Brief Conclusion

#Brief-Conclusion

We found thatas n grows larger, @@0@@ also approximates 4, thus @@1@@ is what we approximates)

Brief Conclusion

#Brief-Conclusion

We can see that @@0@@ also grows exponentially, we suppose @@1@@ is @@2@@

Brief Conclusion

#Brief-Conclusion

Thus z equals 3, then we estimate B to get @@0@@

Brief Conclusion

#Brief-Conclusion

Thus B equals -3, then we guess the complete solution of @@0@@

Brief Conclusion

#Brief-Conclusion

Hypothesis is correct! So the closed form for the output signal when the impulse response is fed into the following equation: @@0@@ is @@1@@