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Mashutka [201]
4 years ago
12

Find the general solution of the given second-order differential equation. y'' − y' − 30y = 0 webassign

Mathematics
1 answer:
mote1985 [20]4 years ago
3 0
Y''-y'-30y=0;
1) the characteristic equation is:
a²-a-30=0, where a²⇒y'', a⇒y' and 1⇒y.
\left[\begin{array}{ccc}a=6 \\a=-5\end{array}
2) <u>y=C₁*e⁶ˣ+C₂*e⁻⁵ˣ</u>
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the larger of two positive numbers is 5 more then the smaller. The product of the numbers is 66. find the numbers
Serjik [45]

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Step-by-step explanation:

We can use a system of linear equations to find out the answer to this problem. The larger number will be x and the smaller number will be y.

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Substitute y+5 in for the bottom equation to get y+5+y=66. Simplify to get 2y+5=66. Subtract 5 from both sides and get 2y=61. Divide by 2 to get y=30.5. This is the smaller number. Add 5 to get the bigger number, which is 35.5

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