For Problems 32-33, determine four linearly independent solutions to the given differential equation of the form y ( x ) = e r x , and thereby determine the general solution to the differential equation. y ( i v ) − 13 y ″ + 36 y = 0 . [ Hint: Factor the fourth-degree equation you get as a product of two quadratic polynomials first.]
For Problems 32-33, determine four linearly independent solutions to the given differential equation of the form y ( x ) = e r x , and thereby determine the general solution to the differential equation. y ( i v ) − 13 y ″ + 36 y = 0 . [ Hint: Factor the fourth-degree equation you get as a product of two quadratic polynomials first.]
Solution Summary: The author explains the four linearly independent solutions to the given differential equation of the form y(x)=erx
For Problems 32-33, determine four linearly independent solutions to the given differential equation of the form
y
(
x
)
=
e
r
x
, and thereby determine the general solution to the differential equation.
y
(
i
v
)
−
13
y
″
+
36
y
=
0
.
[Hint: Factor the fourth-degree equation you get as a product of two quadratic polynomials first.]
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