For Problems 7–21, verify that the given function is a solution to the given differential equation ( c 1 and c 2 are arbitrary constants), and state the maximum interval over which the solution is valid. y ( x ) = c 1 cosh 3 x + c 2 sinh 3 x , y ″ − 9 y = 0 .
For Problems 7–21, verify that the given function is a solution to the given differential equation ( c 1 and c 2 are arbitrary constants), and state the maximum interval over which the solution is valid. y ( x ) = c 1 cosh 3 x + c 2 sinh 3 x , y ″ − 9 y = 0 .
Solution Summary: The author calculates the maximum interval over which the solution is valid and whether y(x)=c_1mathrmcosh
For Problems 7–21, verify that the given function is a solution to the given differential equation (
c
1
and
c
2
are arbitrary constants), and state the maximum interval over which the solution is valid.
y
(
x
)
=
c
1
cosh
3
x
+
c
2
sinh
3
x
,
y
″
−
9
y
=
0
.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY