6) Solve the following problem, provide a well explained, correct and readable solution. -5tx" +6x'+ 13x = 30 e ", x(0) = 8, x'(0) = 28Solve the IVP and find x(0.25) to at least four decimal places of accuracy.Put x(0.25) in the answer box.

Name: 6) Solve the following problem, provide a well explained, correct and
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Description: 6) Solve the following problem, provide a well explained, correct and readable solution. -5tx" +6x'+ 13x = 30 e ", x(0) = 8, x'(0) = 28Solve the IVP and find x(0.25) to at least four decimal places of accuracy.Put x(0.25) in the answer box.

Answered: -5t x" +6x'+ 13x = 30 e-", x(0) = 8,…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 25E

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6) Solve the following problem, provide a well explained, correct and readable solution.

-5t
x" +6x'+ 13x = 30 e ", x(0) = 8, x'(0) = 28
Solve the IVP and find x(0.25) to at least four decimal places of accuracy.
Put x(0.25) in the answer box.

Expert Solution

Step 1

Given:

Given IVP is $x'' + 6 x' + 13 x = 30 e^{- 5 t}, x (0) = 8, x' (0) = 28$

We want to solve IVP and to find $x (0.25)$

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