67 115
Assignments Done
99,3%
Successfully Done
In November 2018

Answer to Question #5987 in Linear Algebra for Anwar Aziz

Question #5987
Consider the differential equation y"-y'-6y=0. show that the substitutions y1=y and y2=y' lead the following system:
y1'=y2, y2'=6y1+y2.
Using the method of diagonalization, solve this system and then solve the original differential equation.
Expert's answer
y2'-6y1-y2=y"-6y-y'
We can find the solution in the form:exp(a*x) => a^2-a-6=0 =>a=(1+-5)/2={3; -2}
y=C1exp(3x)+C2exp(-2x)

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be first!

Leave a comment

Ask Your question

Submit
Privacy policy Terms and Conditions