Find the general solution of the given differential

Pizzadililehz 2022-03-25 Answered
Find the general solution of the given differential equations
4y4y3=0
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Answers (2)

Cassius Villarreal
Answered 2022-03-26 Author has 11 answers
Given:
4y4y3=0
Concept:
The non ­- homogenous ODE, second-order linear equation of type ay+by=constant
y=yh+yp is the general solution of ay+by=constant
The solution:
yh is the solution to the homogeneous ODE ay+by=0
yp the particular solution, is any function that satisfies the non-homogeneous equation
Solution:
4y4y=0
The characteristic equation:
4m24m=0
4m(m1)=0
m=0 and m=1
The solution when roots are a=0 and b=0 is c1eax+c2ebx
yh=c1e1x+c2e(0)x
yh=c1ex+c2e0
yh=c1ex+c2
Now,
yp=34t
so,
y=yh+yp
y=(c1ex)+c2)+(3t4)
y=c1ex+c23t4
Answer:
y=c1ex+c23t4
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Jeffrey Jordon
Answered 2022-03-31 Author has 2262 answers

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