Answer Happy

Question 15 of 17 < View Policies Current Attempt in Progress - > Given y(4) 8y" — 64y" + 512y' t² - 9+ tsint, = determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. Do not evaluate the constants. A suitable form of Y(t) is: Y(t) = Choose one
Question 15 of 17 < View Policies Current Attempt in Progress Given y (4) Sa!!! determin coefficiel > 640"512al +2 a taint Choose one Aot² + A₁t+ A₂+ Bo cost + Co sin t A suitab t(Aot² + A₁t + A2) + (B0 + B₁t) cost + (Co + C₁t) sint Y(t) t(Aot + A₁) + (Bo + B₁t) cost + (Co + C₁t) sin t t(Aot² + A₁t+ A₂) + Bot cost + Cot sin t t(A₁t² + A₁t) + Bo cost + (C₁ + C₁t) sint t(Aot + A₁) + Bo cost + Co sint Aot+ A₁+ Bot cost + Cot sin t Aot² + A₁t+ A₂ + (Bo + B₁t) cost + (Co + C₁t) sin t d
Question 16 of 17 View Policies Current Attempt in Progress 1 Given that x, x², and are solutions of the homogeneous equation 9 corresponding to > Y(x) = X determine a particular solution. NOTE: Enter an exact answer. x³y"" + x²y" - 2xy + 2y = 32x¹, x > 0,
Question 17 of 17 View Policies Current Attempt in Progress y(t) Find the solution of the initial value problem y" + 4y' + 13y = 0, y (7): 0, y¹ (17) = < = > Choose one = 6. How does the solution behave as t → ∞? Choose one Decreasing without bounds Increasing without bounds Exponential decay to a constant Oscillating with increasing amplitude Oscillating with decreasing amplitude