I have successfully updated kernels to 3.13.0-31.36 and 3.16.0-51.69 from trusty-proposed on Ubuntu 14.04.3 (64 bits) and it works flawlessly, truly awesome! However kernel 3.19.0-31.36 is not available from trusty-proposed on Ubuntu 14.04.3 (64 bits).
I have successfully updated kernels to 3.13.0-31.36 and 3.16.0-51.69 from trusty-proposed on Ubuntu 14.04.3 (64 bits) and it works flawlessly, truly awesome! However kernel 3.19.0-31.36 is not available from trusty-proposed on Ubuntu 14.04.3 (64 bits).