Thread: diffEQ using L, D, Ly, y(x)... not sure how to approach this

If L = D^2 + 3xD - 4x

and y(x) = 2x - 5e^(2x)

then Ly = ?

This is completely going over my head. I don't know what is being asked. Im not asking someone to solve this for me, just some instruction in how I am supposed to approach this. Thanks

Originally Posted by plopony

If L = D^2 + 3xD - 4x

and y(x) = 2x - 5e^(2x)

then Ly = ?

This is completely going over my head. I don't know what is being asked. Im not asking someone to solve this for me, just some instruction in how I am supposed to approach this. Thanks

For example if then



Now distribute the operator to y to get



distributing again gives



Now just take the dervaitves to get



I hope this helps