Determine whether the given statement is true or false. The functions fi(x) = cosh 2x and f,(x)= sinh 2x form a fundamental solutions of the differential equation y +4y=0 over the interval (– ∞, ). O True O False

Determine whether the given statement is true or false. The functions fi(x) = cosh 2x and f,(x)= sinh 2x form a fundamental solutions of the differential equation y +4y=0 over the interval (– ∞, ). O True O False

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.2: Properties Of Division

Problem 36E

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Determine whether the given statement is true or false.
The functions
fi(x)= cosh 2x and f,(x) = sinh 2x form a fundamental solutions of the differential equation
y+4y=0 °ver the interval (– ∞, ∞).
O True
O False

The Wronskian of the functions
V1
ex and
2=De=3x is
O A. 6e3x
3x
O B. 6e-3x
OC.6
O D. -6

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