Solve the given initial value problem. y" +10y' +25y = 0; y(0) = 3, y0) =...
thank you!! Solve the given initial value problem. y'' - 10y' + 25y = 0; y(0) = -3, y'(0) = 57 4 The solution is y(t) =
(1 point) Solve the boundary-value problem y" – 10y' + 25y = 0, y(0) = 7, y(1) = 0. Answer: y(x) = Note: If there is no solution, type "None".
Solve the given initial value problem. y'' – 4y'' +10y' - 12y = 0; y(0) = 1, y'(0) = 0, y''(O) = 0 y(t)=
6. Solve the given initial value problem, with y0 = 2 and y'0) = 5: y" - 6y' + 5y = 20t +1
Solve 2y'' – 5y' – 25y = 0, y(0) = -6, y'(0) = – 15 (t) = Consider the initial value problem y' + 3y' – 10y = 0, y(0) = a, y'(0) = 3 Find the value of a so that the solution to the initial value problem approaches zero as t + oo a = 1
Use the Laplace transform to solve the given initial value problem. y(4) - 81y=0; y0 = 20, y' (O) = 51, y" (0) = 126, y" (0) = 243 Enclose arguments of functions in parentheses. For example, sin (2x). y(t) QC
Solve the initial-value problem d2ydt2+10dydt+25y=0,y(1)=0,y′(1)=1.Answer: y(t)=
Find the general solution of the given second-order differential equation. y'' + 10y' + 25y = 0 Solve the given differential equation by undetermined coefficients. y'' + 4y = 2 sin 2x Solve the given differential equation by undetermined coefficients. y'' − y' = −10
d2y dy +10 dt +25y 0, y(1) 0, y'(1) 1 (1 point) Solve the initial-value problem dt2 Answer: y(t)
1. (25%) Solve the initial-value problem. zdy + 10y = 5; y(0) = 0 4 dt