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In Exercises 13-17 solve the initial value problemбу" — у' —-у %3D 0,бу" + у' — у %3D 0,14.у(0)10, у'(0) — 0у'(0) — 3у(0) — —1,15.

Question
In Exercises 13-17 solve the initial value problem
бу" — у' —-у %3D 0,
бу" + у' — у %3D 0,
14.
у(0)
10, у'(0) — 0
у'(0) — 3
у(0) — —1,
15.
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In Exercises 13-17 solve the initial value problem бу" — у' —-у %3D 0, бу" + у' — у %3D 0, 14. у(0) 10, у'(0) — 0 у'(0) — 3 у(0) — —1, 15.

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Step 1

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To determine solution of the initial value problem.

Step 2

Given:

6y"-y'y0 y(0) =10,y '(0)=0
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6y"-y'y0 y(0) =10,y '(0)=0

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Step 3

Formula Used:

The general solution of the ordinary differential equation of the form Ay&r...

Characteristics equation:AA2 BA+C = 0
General solution y(x)=c,e + c,e?
are the roots of characteristics equation
swhere 2,
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Characteristics equation:AA2 BA+C = 0 General solution y(x)=c,e + c,e? are the roots of characteristics equation swhere 2,

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Tagged in

Math

Calculus

Differential Equations

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