Show that the function defined in column I is a solution ofthe corresponding differential equation...

Matias Aguirre

Matias Aguirre

Answered

2022-07-28

Show that the function defined in column I is a solution ofthe corresponding differential equation in Column II in everyinterval a1. f ( x ) = x + 3 e x
2. dy/dx+y=x+1

Answer & Explanation

kamphundg4

kamphundg4

Expert

2022-07-29Added 20 answers

Given
y = x + 3 e x
d y / d x = 1 3 e x
Now for the second equation
dy/dx + y =
( 1 3 e x ) + ( x + 3 e x ) =
= 1 + x
Joanna Mueller

Joanna Mueller

Expert

2022-07-30Added 5 answers

d y d x = 1 3 e x
d y d x + y = 1 3 e x + x + 3 e x = x + 1
so f ( x ) = x + 3 e x is the solution of dy/dx + y =x=1

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