The Wronskian for the fundamental set of solutions to the DE ty" + 2y"-y' + ty=0 is a) ct² b) ct c) ct d) ct¹ If x,x2, and 111 are the solutions to the DE x³y" +x²-2xy +2y=2x4 then the particular solution of the DE is a) Y(x)=x+x³ b) F(x)=+x²+3x² c) Y(x) = 14 d) F(x)=x+x²+ The Taylor series of the function f(x)= | | x about the point x=2 is 1-x a) ƒ(x)=Σ(−1)” (x-2)** 00 FU b) ƒ (x)=Σ(−1)* (x−2)* 20 n+1 ©) ƒ(x)-Ż(-1)*(x−2)** = n! d) f(x)=(-1) (x-2)" The general solution to the DE (x-2)² y" +5(x-2) y'+8y = 0 is a) y=c₁(x-2)² + (x-2) b) y=(x-2) cos(2ln|x-2)+c₂ (x-2)²² sin (2 In |x-2) c) y=c₁(x-2)cos(21n|x-2)+c₂ (x-2) sin (21n|x-2) d) y = cos(2ln|x-2)+ sin (2ln|x-2)