HW17: Problem 6 Previous Problem Problem List Next Problem (1 point) t Use Laplace transforms to...
Problem 7. PREVIEW ONLY -- ANSWERS NOT RECORDED (20 points) Use Laplace transforms to solve the integral equation y(t) – 16 't – v)y(m) dv = 16t. JO The first step is to apply the Laplace transform and solve for Y(s) = L(y(t)) Y(s) Next apply the inverse Laplace transform to obtain y(t) g(t)
(3 points) Use Laplace transforms to solve the integral equation y(t) -3 / sin(3v)y(t - v) dv - sin(t) The first step is to apply the Laplace transform and solve for Y(s) = L()(1) Y(s) = Next apply the inverse Laplace transform to obtain y(t) y(t) =
Show work please (1 point) Use Laplace transforms to solve the integral equation y(t) – v yết – U) do = 4. The first step is to apply the Laplace transform and solve for Y(s) = L(y(t)) Y(s) = Next apply the inverse Laplace transform to obtain y(t) y(t) =
Previous Problem Problem List Next Problem (1 point) In this exercise we will use the Laplace transform to solve the following initial value problem: 0s(O)1 (1) First, using Y for the Laplace transform of y(t). i.e., Y-L(y(t), find the equation obtained by taking the Laplace transform of the initial value problenm 2) Next solve for Y - (3) Finally apply the inverse Laplace transform to find y(t) y(t) =
Previous Problem Problem List Next Problem (1 point) Use the Laplace transform to solve the following initial value problem: y" - y' – 12y = 0, y(0) = -7, y'(0) = 7 (1) First, using Y for the Laplace transform of y(t), l.e., Y = L(y(t)) find the equation you get by taking the Laplace transform of the differential equation to obtain =0 (2) Next solve for Y = A B (3) Now write the above answer in its partial...
Hw9: Problem 12 Previous Problem Problem List Next Problem (1 point) In this exercise we will use the Laplace transform to solve the following initial value problem: 0<, î < 1· 3, y@) :0 (1) First, using Y for the Laplace transform of y(t), ie, Y = L(y(t), find the equation obtained by taking the Laplace transform of the initial value problem (2) Next solve for Y - (3) Finally apply the inverse Laplace transform to find y(t) y(t) =
Homework 16: Problem 3 Previous Problem Problem List Next Problem (1 point) Consider the initial value problem y" + 16y = 64t, y(0) = 9, y'(0) = 6. 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(t) 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...
22 Laplace poly shift: Problem 1 Previous Problem Problem List Next Problem (1 point) Consider the initial value problem 16y cos(4t), y(0)-3, (0) -5 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(t) 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 Y...
please help (1 point) Use the Laplace transform to solve the following initial value problem: y" + y = 0, y(0) = 1, y'(0) = 1 (1) First, using Y for the Laplace transform of y(t), i.e., Y = L(y(0), find the equation you get by taking the Laplace transform of the differential equation to obtain (2) Next solve for Y = (3) Finally apply the inverse Laplace transform to find y(t) y(t) =
HW16: Problem 9 Previous Problem Problem List Next Problem (1 point) Consider the initial value problem o ifost <3 y + 5y = 10 if 3 st<5 3(0) = 4. lo if 5 <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. Do not move any terms from one side of the equation to the other (until you get to...