find a general solution to the differential equation

(2+x) dy/dx = 3y

i got the answer y= 6+3x+e^(3c)

but i don't think that makes much sense..

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- Jan 5th 2009, 11:21 AMholly123sorry, another differential equation
find a general solution to the differential equation

(2+x) dy/dx = 3y

i got the answer y= 6+3x+e^(3c)

but i don't think that makes much sense.. - Jan 5th 2009, 11:25 AMJester
- Jan 5th 2009, 11:27 AMholly123
okay thats what i got but i didn't know how to solve for y. i know you have to inject e to cancel out ln

so would it be y= 3(2+x) + e^(3c)

im not sure - Jan 5th 2009, 11:31 AMJester
- Jan 5th 2009, 11:38 AMSoroban
Hello, holly123!

Quote:

Find a general solution to the differential equation: .

i got the answer: .

but i don't think that makes much sense. . . . . no, it doesn't

Separate the variables: .

Integrate: .

. .

Therefore: .

- Jan 5th 2009, 11:44 AMholly123
thank you