Find general solutions of the equation. First find a small integral root of the

tricotasu

tricotasu

Answered question

2021-09-12

Find general solutions of the equation. First find a small integral root of the characteristic equation by inspection; then factor by division.
y3+3y4y=0

Answer & Explanation

StrycharzT

StrycharzT

Skilled2021-09-13Added 102 answers

Given: 
The given differential equation is y(3)+3y 4y=0 
Solution: 
The characteristic equation is 
r3+3r4=0 
(r1)(r+2)2=0 
r1=1,r2=r3=2 
In this instance, cases 1 and 2 are combined. 
Next the general solution of the equation is 
y(x)=c1ex+(c2+c3x)e2x.

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