3. Find the general solution of each differential equation below. [6 point each] a. y'' + 2y' - 8y = 0 b. y'' - 6y' + 9y = 0 c. y'' + 2y' + 2y = 0 d. y''' - 4y'' + 5y' - 2y = 0
Added by Colton F.
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For the first equation, we have the characteristic equation: $$r^2 + 2r - 8 = 0$$ Factoring, we get: $$(r + 4)(r - 2) = 0$$ So, the roots are $r_1 = -4$ and $r_2 = 2$. Show more…
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