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(1 point) Find y as a function of t if 2y" + 33y = 0, y(0) = 3, y' (0) = 9. g(t) = Note: This particular webWork problem can't handle complex numbers, so write your answer in terms of sines and cosines, rather than using e to a complex power.
Find y as a function of t if
9y′′+35y=0,
y(0)=6,y′(0)=9.
y(t)=
27 35 6*cossqr 3: Set(35)])"sin([sqrt(35)]/3)*t 6 Cos V35 3 t + sin t incorre 35 3 The answer above is NOT correct. (1 point) Find y as a function of t if 9y" + 35y = 0, y(0) = 6, y'(0) = 9. y(t) = cos(sqrt(35y3)t + 27/sqrt(35)sin(sqrt(35y3) Note: This particular webWork problem can't handle complex numbers, so write your answer in terms of sines and cosines, rather than...
Problem 3. (1 point) Find y as a function of tif y" - 7 - 8y = 0, y(O) = 8, y(1) = 4. y) = Remark: The initial conditions involve values at two points.
(1 point) Find y as a function of tif y" - 16y=0, y(0) = 5, y(1) = 6. s(t) = Remark. The initial conditions involve values at two points
Problem 3. (1 point) Find y as a function of tif y" + 5y - 14y = 0, y(0) = 5, y(1) = 6, y) = Remark: The initial conditions involve values at two points. Problem 4. (1 point) Find the solution to the linear system of differential equations 8x - 15y 6x-lly satisfying the initial conditions x(0) = -16 and yo) = -10 x(t) = Note: You can earn partial credit on this problem
(1 point) Find y as a function of t if y-8y = 0, (0) - 6, (1) = 2. y(t) Remark The initial conditions involve values at two points
(2 points) Consider the initial value problem y' +8y +41y = g(t), y(0) = 0, y(0) = 0, where g(t) = if 9 t<oo. a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y() by Y(s). Do not move any terms from one side of the equation to the other (until you get to part (b) below) ! help (formulas) b. Solve your equation for...
Consider the differential equation y" + 8y' + 15 y=0. (a) Find r1 r2, roots of the characteristic polynomial of the equation above. = 11, 12 M (b) Find a set of real-valued fundamental solutions to the differential equation above. yı(t) M y2(t) M (C) Find the solution y of the the differential equation above that satisfies the initial conditions y(0) = 4, y(0) = -3. g(t) = M (10 points) Solve the initial value problem y" - 54' +...
buu.FIUuiem / Previous Problem Problem List Next Problem (1 point) Find y as a function of tif 4y" + 20y +17y = 0, y(O) = 3, 0) = 5. y(t) = Note: This problem cannot interpret complex numbers. You may need to simplify your answer before submitting it Preview My Answers Submit Answers You have attempted this problem 0 times You have 7 attempts remaining. Email Instructor
Consider the initial value problem y'' – 2y' – 8y = 0, y(0) = a, y'(0) = 6 Find the value of a so that the solution to the initial value problem approaches zero as t + oo Q = a =