Answer: 43.5
Step-by-step explanation:

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


I hope this is useful for you
Best regard
Answer: a^2 + b^2= c^2
Step-by-step explanation:
Answer:
The Pythagorean theorem is a^2+b^2=c^2 where c is the length of the longest, diagonal side (diagonal means opposite the right angle/small square).
Step-by-step explanation:
If you're looking for a short side (i.e. next to the right angle), square the longest one and subtract the square of the other known.
If you're looking for a long side (i.e. opposite the right angle), square both you know and add them together.
In both cases, take the Square Root with your calculator, or by trial and error, find a number that squares to make your current number.
[1] A square of the number x is x times x.