Find a solution
10. y" – 2y' + 2y = 2x, y(0) = 4, y'0) = 8.
Find the general solution, y(x) for (y')*(y'')+(y')3= 2e-2y
Q4 please
4. (a) Find the general solution of the equation y" +2y +2y tan by varia- tion of parameters 6 marks] (b) Find a particular solution of the equation y" +2/ +2y = sin 2x by method of undetermined coeficients. 4 marks] (c) Use Laplace transform to solve the initial value problem l-1, 21 0-,0)- [10 marks]
4. (a) Find the general solution of the equation y" +2y +2y tan by varia- tion of parameters 6 marks] (b) Find...
1. (3pts) Find the general solution of y(4) + 2y" + y = 0.
1. (3pts) Find the general solution of y(4) + 2y" +y=0.
4. Find the solution to the differential equation y"+2y'+ 2y-S(t-) y(0) 0, y (0)-0 and graph it.
4. (16) Find the general solution of y" - V - 2y = er for each part below, circle your final answer. Find y Let f(x) = W M12 Vs = 56) 1 - 0 W= (3) 42 General solution y =
1. Find the general solution to the equation y" - y - 2y = -e- 2. Find a particular solution to y" + 4y = 11 sin(2t) + cos(2t) 3. Find the form of a particular solution to be used in the Method of Undetermined Coefficients for the equation y" + 2y' +2y = te-* cost Do not solve the equation
4. (20) Find a second solution of zy" - 2y + y = 0 given that y = r is a solution. (a) Substitute y = (b) Compute the derivatives. Simplify your answers. Write your answers in the box (c) Substitute into DE. Show your work. Simplify your answer. Write your answer in the box. 4. (20) Find a second solution of zy" - 2y + y = 0 given that y = r is a solution. (a) Substitute y...
(3 points) (a) Find the general solution to
y′′+2y′=0. Give your answer as y=... . In your answer, use c1 and
c2 to denote arbitrary constants and x the independent variable.
Enter c1 as c1 and c2 as c2.
(3 points) (a) Find the general solution to y" + 2y' = 0. Give your answer as y=... . In your answer, use c1 and c2 to denote arbitrary constants and x the independent variable. Enter cı as c1 and C2...