Question

(5 points) Find the general solution to the differential equation y" – 2y + 17y=0. In your answer, use Cį and C2 to denote arbitrary constants and t the independent variable. Enter Cų as C1 and C2 as С2. y(t) = help (formulas) Find the unique solution that satisfies the initial conditions: y(0) = -1, y'(0) = 7. y(t) =

Answer 1

Find the gene al olutton to the dliff. cuation The aurilia atlon is 2 J-417)1) 2y-68 se formula: -btbuac 1-4 x)=C, eosAx + C2 Sinßx)e when sr0ots if tjfe So C2 Sin) C, cosux Yx) Sinyx Ci cos4)+ C2 Find the unique 3olution that Satisfy the intial condition Y(o) = 7 So )e-4 Sin4x Cl +4c2 cosy +Gcosut Sin4x) 07 initial condition Put чс+ C Cio Put C2=2 soluction So the Unqus e((-) cosux 2 sin4x) all solution яеblаu et -os4t +2 Sinyt)