\fDetermine that each equation is a solution of the given differential equation. d2 y 1. y = A sin 5x + B cos 5x ; dx2 + 25y = 0 2. x = 5 cost - 7 sint; x" +x =0 3. y = e-2x; y'"' - 3y' + 2y = 0 4. y = 2e-* + xe *; y" + 2y'ty=0 5. y = Ciex + Czxex + C3e-* + 2x2ex. day day dy ty - 8ex = 0 dx3 dx2 dx dy 6. y = x2 + 4x; x dx = x2 + y 7. Iny = Cle* + Cze-*; yy" - (y')2 = y2 Iny 8. y-3 = x3 (3ex + c); xy' ty+ xtytex=0