Find the general solution y(x) of the following

jermandcryspza3

jermandcryspza3

Answered question

2022-03-23

Find the general solution y(x) of the following second order linear ODEs:
y4y+3y=0

Answer & Explanation

Mikaela Winters

Mikaela Winters

Beginner2022-03-24Added 14 answers

The differential equation is y4y+3y=0
Solve the second order differential equation to find the roots.
y4y+3y=0
m24m+3=0
m23mm+3
m(m3)1(m3)=0
(m3)(m1)=0
m1,2=1,3
The roots of the equation are real and different.
The general solution for real and different root is y=C1em1x+C2em2x
Substitute the given value in the general equation y=C1em1x+C2em2x to find the general solution.
y=C1e1x+C2e3x
y=C1ex+C2e3x
So the general solution is y=C1ex+C2e3x
Jeffrey Jordon

Jeffrey Jordon

Expert2022-03-31Added 2605 answers

Answer is given below (on video)

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