Find the general solution (for r(t), y(t), and z(t)) to the following differential equation wherer= zz +yy + zz, b-bz, and e-e2. you can use the boundary conditions x(t-0) = zo, y(t 0yo, z(t0)-zo, and lt-o-vox. if you find that you need to name an arbitrary constant in your final answer, call it r. this choice of label will become obvious in the near future. hint: first, break up the equation into components (i. e. 3 equations). nert, take yet another deriva- tive for some of those equations to get a harmonic oscillator equation for the velocity. you should know the solution for a harmonic oscillator. and if you know the solution for the velocity, you should be able to integrate to find the position.