2. for the following differential equation: y + 8y + 15y-u 30u, y(0)-1,y(0) 0,u(t)-t fort20 3. Find the transfer function
Problem # 4 termined coefficients to find the particular solution) A) B) C) y-8y' +15y-612 sin(3t) Problemi # 5 Match Differential Equations with its particular solution b. (At + B)te с.Ae 4t d. Ate e. Ae f Ate Problemi #6 Solve y"-y'-12y -36t + 21, y(0)--5, y'(0) -2
Solve the initial value problem below using the method of Laplace transforms. y''+8y'+15y=594e^(6t) ,y(0)=-4,y'(0)=78
Use
Variation of Parameters to solve the following differential
equations
4) y" + 8y' +16y = e-45 ln(2)
Problem 4. (1 point) Find the solution to the linear system of differential equations 5x -8y 4x - 7y satisfying the initial conditions x(0) = 6 and y(0) = 4. x(1)
Find the solution of the second order differential equations: day a. + y = 0, y(TT/3) = 0, y'(TT/3) = 4 dx2 b. y" – 8y' + 16y = 0, y(0) = 1, y(1) = 0
2. Find the solution of the second order differential equations: d2 +y = 0, y(T/3) = 0, y'(T/3) = 4 a. dx2 b. Y" - 8y' + 16y = 0, y(0) = 1, y(1) = 0
2. Find the solution of the second order differential equations: day + y = 0, y(TT/3) = 0, y'(TT/3) = dx2 a. = 4 b. y" – 8y' + 16y = 0, y(0) = 1, y(1) = 0
The answer above is NOT correct. (1 point) Find the general solution to y(4) – 8y"" + 15y" = 0. In your answer, use C1,C2,C3 and C4 to denote arbitrary constants and x the independent variable. Enter ci as c1, c2 as c2, etc. y=c1+xc1+c3e^(3x)+c4e^(5x) help (equations)
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' +...