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..

Printable View

- January 5th 2009, 12:21 PMholly123sorry, 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.. - January 5th 2009, 12:25 PMJester
- January 5th 2009, 12:27 PMholly123
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 - January 5th 2009, 12:31 PMJester
- January 5th 2009, 12:38 PMSoroban
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: .

- January 5th 2009, 12:44 PMholly123
thank you