LinuxKernel 3.17.2 is the second adjustment kernel release version 3.17. You can download the relevant deb packages from HERE and install them. Or just follow the instructions given below that will help you to install a new kernel multiple commands in terminal.
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Suitable for Linux Mint 17/16/15/13 Elementary OS 0.2/0.3 PinguyOS 14/12
Installing the LinuxKernel 3.17.2 into Linux Mint/Pinguy OS or others Ubuntu distrs: 1. The easiest way to use the utility KernelUpdate.
OR 2. Open a terminal, copy and run one of the commands according to the architecture of your system/computer, at your own risk: For 32-bit (single command):