Need help with following three differential equations. Help is really appreciated!

First:

Solve the differential equation , y(0) = 1.

Second:

, y(0)=5.

Third:

that have the value 4 when x=0

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- November 16th 2010, 02:37 PMAnteeksOrdinary Differential Equations
Need help with following three differential equations. Help is really appreciated!

First:

Solve the differential equation , y(0) = 1.

Second:

, y(0)=5.

Third:

that have the value 4 when x=0 - November 16th 2010, 04:13 PMmr fantastic
- November 16th 2010, 04:47 PMAnteeks
Thank you!

First equation:

-->

-->

=

Which gives

Is this right?

Second:

integrating factor =

)

Thats about how far I can go, and don't know if its right.

Third:

Divide with on both rows and integrate both:

Thats how far I can go. - November 17th 2010, 05:41 AMHallsofIvy
Yes, that first equation is linear and so you can get an integrating factor this way. It is , not . After that you are good

Quote:

-->

-->

=

Quote:

Quote:

Which gives

Is this right?

Quote:

Second:

integrating factor =

Quote:

)

Thats about how far I can go, and don't know if its right.

Third:

Divide with on both rows and integrate both:

Thats how far I can go.

. Let u= y/3.