Problem #3: For which of the cases below is the given two-parameter family of functions the general solution of the corr
Posted: Wed Jul 06, 2022 11:50 am
Problem #3: For which of the cases below is the given two-parameter family of functions the general solution of the corresponding nonhomogeneous differential equation on the indicated interval? (i) y" - 12y+35y 1x²-24x + 2; e³x + x², (-00,00) y = c₁ e = + c₂ (ii) y" - 14y' +49y = 288 sinx - 84 cos x; y = c₁ e7x + c₂ xe7x + 6sinx, (-∞,∞0) (iii) x²y" - 20xy' + 110y = 264 ; X y = C1x10 + ©₂ x¹1 + ²/1, (0, ∞) (A) (ii) and (iii) only (B) (i) and (iii) only (C) all of them (D) (ii) only (E) none of them (F) (iii) only (G) (i) only (H) (i) and (ii) only