Find the general solution to the first order linear diff. equation

dy/dx + 3xy = -2x

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- May 15th 2009, 02:00 AMmatty888Find the general solution
Find the general solution to the first order linear diff. equation

dy/dx + 3xy = -2x - May 15th 2009, 02:26 AMSoroban
Hello, matty888!

Quote:

Find the general solution of: .

Integrating factor: .

Multiply: .

We have: .

Integrate: .

On the right side:

. . Let:

. . Substitute: .

. . Back-substitute: .

The equation becomes: .

Therefore: .

- May 15th 2009, 02:50 AMmatty888Thanks Soroban
Hi Soroban,

Great answer,very clear & helpful,many thanks!!

matty888