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butalik [34]
3 years ago
9

Find the general solution to y" – 8 y' + 15 y=0.​

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
4 0

Answer:

y" - 8y' + 15y = 0

2nd order Homogeneous DE.

Solving Quadratically

k² - 8k + 15 = 0

k= 5 or k= 3.

Two real and Unequal roots.

y= Ae^5x + Be^3x.

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