Please help with simple Boundary Value Problem

miner_tom

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I have been away from second order differential equations for 40 years so I am a bit rusty.

Reading this book on method of moments by Harrington I came across this simple boundary value problem with what is called the exact solution. I simply don't remember how that is done with a problem like this.

1617771096489.png

Can anyone explain how the solution was derived?
Thank You
Tom
 
I have been away from second order differential equations for 40 years so I am a bit rusty.

Reading this book on method of moments by Harrington I came across this simple boundary value problem with what is called the exact solution. I simply don't remember how that is done with a problem like this.

View attachment 26252

Can anyone explain how the solution was derived?
Thank You
Tom
Integrate [1-30] twice then apply b.c.
 
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