Find the general solution of the given differential equation. y" + 2y' + y = 14e-t
3- Find the general solution of the given differential equation 3-2) y'' −2y' +y = e^t /(1+t^2)
Question 7 Find the general solution of the given differential equation. y" +2y' +5y=0
The function Y(t) = t is a solution of the differential equation (t2+4)y" - 2ty' + 2y = 0. Find a real general solution of this equation.
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 for the given differential equation y" + 3y' + 2y = 12x2 Select one: a. Yg = cie" + cze 2 + 18 - 212 + 3.2 b. yg = cje" + cze 24 + 11 + 18x + 2x2 C. Yg = Cieľ + c2e22 + 2 - 11x + x2 d. y, =cje + cze 2x + 21 – 182 + 6x2
1.Find a general solution to the given differential equation. 21y'' + 8y' - 5y = 0 A general solution is y(t) = _______ .2.Solve the given initial value problem. y'' + 3y' = 0; y(0) = 12, y'(0)= - 27 The solution is y(t) = _______ 3.Find three linearly independent solutions of the given third-order differential equation and write a general solution as an arbitrary linear combination of them z"'+z"-21z'-45z = 0 A general solution is z(t) = _______
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;
Find the general solution to the differential equation: y3 y ' = t Find the general solution to the differential equation: y3 y'=t
(5 points) Find the general solution to the differential equation y" – 2y + 17y=0. In your answer, use Cį and C2 to denote arbitrary constants and t the independent variable. Enter Cų as C1 and C2 as С2. y(t) = help (formulas) Find the unique solution that satisfies the initial conditions: y(0) = -1, y'(0) = 7. y(t) =
Find a general solution for the given differential equation with x as the independent variable. y (4 + 2y'"' + 377"' +72/' + 36y = 0 A general solution with x as the independent variable is y(x) =