Find the general solution to the differential equation: ty'+2y
=t3, and what are the homogenous solutions.
Find the general solution to the differential equation: ty'+2y =t3, and what are the homogenous solutions....
(10 pts) Find the general solution to the differential equation ty'+2y =t^3 What are the homogeneous solutions?
3. Find the general solution of the homogenous differential equation. y" - 10y' + 29y = 0
5. Find the general solution of the non-homogenous differential equation. y" – 7y' +12y = ek
a) Find the general solution of the differential equation Y'(B) + 2y(s) = (1)3 8>0. b) Find the inverse Laplace transform y(t) = --!{Y(s)}, where Y(s) is the solution of part (a). c) Use Laplace transforms to find the solution of the initial value problem ty"(t) – ty' (t) + y(t) = te", y(0) = 0, y(0) = 1, fort > 0. You may use the above results if you find them helpful. (Correct solutions obtained without Laplace transform methods...
Find a general solution to the differential equation. 1/2y" +2y=2 tan 2t-1/3e2t The general solution is y(t) = _______
Find the general solution to the differential equation below:
Tip: it is by series
(94x2)/-2y = 0
(94x2)/-2y = 0
In Problems 7 and 8 find the general solution of the given differential equation. 8. y′′ + 2y′ + 5y = g(t), (a) g(t) = −2t + 4t2; (b) g(t) = t3;
4. Consider the differential equation +2y + 2y = cost (a) (5 points) Find the general solution to the corresponding homogeneous equa- tion. (b) (5 points) Find a particular solution, y(t), to the non-homogeneous equation. (c) (2 points) Determine the general solution to the non-homogeneous equation.
Find the general solution of the given differential equation. y" + 2y' + y = 14e-t
Use the Method of Undetermined Coefficients to find the general solution for the differential equation: y"-2y'+2y= e^(x)sinx Answer should be: y= ce^(x)cosx+ce^(x)sinx-(x/2)e^(x)cosx