What are the solutions of the system? {y=-6x-6 y=x^2-5x-6 A (-1,0)and(-6,0) B (-1,0)and(0,-6) C (0,-1)and(-6,0) D(0,-1)and(0,-6)
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Answer:
Step-by-step explanation:
We have to take the derivatives for both functions and replace in the differential equation. Hence
for y=e^{-5x}:
for y=e^{6x}:
Now we replace in the differential equation y'' − y' − 30y = 0
for y=e^{-5x}:
for y=e^{6x}:
Now, to know if both function are linearly independent we calculate the Wronskian
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