Find the general solution to the homogeneous differential equa- tion. dy dt dt Use c and...

  

Transcribed Image Text:

Find the general solution to the homogeneous differential equa- tion. d²y dt² dt Use c₁ and c₂ in your answer to denote arbitrary constants, and enter them as c1 and c2. (2) Find y as a function of t if dy 8 +32y = 0 y + 14y' +53y= 0, y(0) = 4, y'(0) = 4. Find the general solution to the homogeneous differential equa- tion. d²y dt² dt Use c₁ and c₂ in your answer to denote arbitrary constants, and enter them as c1 and c2. (2) Find y as a function of t if dy 8 +32y = 0 y + 14y' +53y= 0, y(0) = 4, y'(0) = 4.