Find the solution of the given initial value problem. (4) – 6y'"' + 9" = 0...
ind the solution of the given initial value problem: 6y′′′+144y′−960y=0 y(0)=9, y′(0)=42, y′′(0)=−240 Enclose arguments of functions in parentheses. For example, sin(2x).
Solve the given differential equation with initial condition. y'-6y = 0, y(0) = 9 The solution is y(t) = (Type an exact answer.)
4. Solve the initial-value problem y" – 6y' +9y = 0, y(0) = 0, y'(0) = 1
Consider the following initial value problem. y" + 6y' + 34y = 8( - 1T) + 6(t – 7), 7(0) = 1, y(0) = 0 Find the Laplace transform of the differential equation. (Write your answer as a function of s.) Use the Laplace transform to solve the given initial-value problem. y(t) = ])-( * sin(70) .).2(e-) + ( [ - alt- Need Help? Read it Talk to a Tutor
Consider the initial value problem y" + 6y' + 34y = 0, y(0) = 1, y'(0) = 1 (a) Let y = e . The characteristic equation is 12+ 3 X+ Ž (b) The roots of the characteristic equation are = Separate values with a comma. Use capital I for ✓-1. (c) A general solution is y= You must use capitial A and capital B as your constants of integration. Use real-valued functions. (d) The solution of the initial value...
8. Solve the following initial value problem: y" - 6y' + 13y = 0, y(a) = b, y'(c) = d (Note: a, b,c,d will be an a=1 b=7 c=8 d=9]nt ID number)
Find the Laplace transform Y(s) = L{y} of the solution of the given initial value problem: 1, y' + 9 = 0<t<T 0,7 <t< y(0) = 5, y'(0) = 4
Solve the initial value problem y" - 6y' + 13y = 0, y(0) = 0, y'(0) = 1.
Find the solution of the given initial value problem: 2y"' + 48y' – 320y = 0 y(0) = 9, y' (0) = 24, y" (0) = -312 Enclose arguments of functions in parentheses. For example, sin (2x). g(t) =
Consider the initial value problem Remaining ume: 111.20 ( mm:sec 0 y' +6y= if 0 <t<1 if 1 <t < 5 if 5 <t<o, 10 0 y(0) = 8. (a) Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y by Y. Do not move any terms from one side of the equation to the other (until you get to part (b) below). (b) Solve your...