(1 point) Find y as a function of x if y" – 7y" + 10y' = 12et, y(0) = 10, y(0) = 29, y' (0) = 10. y(x) = (21/2)+(41/2)^(2x)-3e^(5x)+3e^(x) 000 (1 point) Find a particular solution to y" + 36y = –24 sin(6t). yp = 16-3e^(-3t)-8cos(3t)
Find the solution of the initial value problem y′′+7y′+10y=0, y(0)=11 and y′(0)=−46.
1 point) (a) Find the general solution to y" +7y'-0. Give your answer as y -.. . In your answer, use ci and c2 to denote arbitrary constants and x the independent variable. Enter ci as c1 and c as c2 help (equations) (b) Find the particular solution that satisfies y(0) 1 and y'(0)1 help (equations)
(1 point) a. Find a particular solution to the nonhomogeneous differential equation y" + 3y - 10y = ex. yp = help (formulas) b. Find the most general solution to the associated homogeneous differential equation. Use cy and c2 in your answer to denote arbitrary constants, and enter them as c1 and c2. Yh = help (formulas) c. Find the most general solution to the original nonhomogeneous differential equation. Use cy and C2 in your answer to denote arbitrary constants....
(1 point) Use the Laplace transform to solve the following initial value problem: y"-7y+10y 0, (0) 6, /(0) -3 (1) First, using Y for the Laplace transform of y(t), Le, Y find the equation you get by taking the Laplace transform of the differential equation to obtain C() 0 (2) Next solve for Y A (3) Now write the above answer in its partial fraction form, Y + 8-6 8a (NOTE: the order that you enter your answers matter so...
16 and 20 please Use this in Exercises 16-21 to find a particular solution. Then find the general solution and, where indicated, solve the initial value problem and graph the solution. 16. y' + 5y' - 6y = 6e3 17. y' – 4y + 5y = 21 18. C/ Gy" +8y' + 7y = 10e-21, y(0) = -2, y0) = 10 19. C/G Y' – 4y + 4y = et, y(0) = 2, y(0) = 0 20. y' +24' +10y...
x'-y,y 10x-7y using the method of elimination. 2) a) Find the general solution to b) What happens to all solutions as ? You should find that all solutions approach the same point (x, y). This is an example of a fixed point. c) Find the particular solution to the IVP consisting of the above system of equations and the conditions x(0)2, y(0)-7
Find the solution of the following nonhomogeneous 2nd order linear initial value problem: | 1. y” + 7y + 10y = 176e6t, y (0) = 0, y'(0) = 13 2. y” + 7y + 10y = 140 cos(4t) – 30 sin(4t) y(0) = 1, y'(0) = 0
(1 point) Find y as a function of x if y(4) – 10y" + 254" = -392e-27, = 16. y(0) = 4, y(0) = 24, y" (O) = 17, y" (0) y(x) =
Find the angle between the planes 3x+10y = 17 and 7x + 7y + 3z = - 10. The radian measure of the acute angle is 0= (Round to the nearest thousandth.)