Answer Happy

Also find y(t) so that y(t) and the solution for x(t) found inthe previous step are a general solution to the system ofdifferential equations
Find a general solution for the given linear system using the elimination procedure for 2x2 systems. d²x 2 dt 9x + O A. --x+ 5y = 0, O C. d²y O D. dt Eliminate y from the system and solve the remaining differential equation for x. -5y = 0 x(t) = C₁ e OB. x(t)=C₁ e 2√10t x(t) = C₁ e x(t) = C₁ e 10t + C₂ e √10t + C₂ e √10t -2√10t - 10t + C₂ e +C₂e - -√√10t + C3 cos 4t + C4 sin 4t + C3 cos 5t + C4 sin 5t -√√10t 2t + C3 e ²¹+ C4 e - 2t *** + C3 cos 2t+ C4 sin 2t