10) 3. Solve the following initial value problems using Laplace transforms. [(a)] (a) x." - 2x...
3. Use Laplace transforms to solve the following initial value problems. Write the solution (t) for t20 as a simplified piecewise defined function. (a) z', + 2x' + 2x-f(t), x(0-0, z'(0)-i, where f(t)-〈0 otherwise. (b) z', +x-f(t), x(0) 0, z'(0)=1, where t/2 if 0 t< 6, 3 ift26 f(t) 3. Use Laplace transforms to solve the following initial value problems. Write the solution (t) for t20 as a simplified piecewise defined function. (a) z', + 2x' + 2x-f(t), x(0-0, z'(0)-i,...
Parts a, b, c, e, and h. Place tranform X(s). 6, Solve the following initial value problems using Laplace transforms. da)) x5a = H(t- 2), x(0) = 1. bon al onoid li sin 2t, x(0) 0. b) x H 9lo c x" - x' -6x = 0, æ(0) = 2, x'(0) = -1 day sisini ds ovio astdo x(0) = 0, x'(0) = 1. d) r" - 2x' 2x = 0, x = e-', x" - 2x 2 a(0) =...
Problem 3 Solve the initial value problems using Laplace Transforms (a) y' + 8y = t2 y(0) = -1 (b) y" – 2y' – 3y = e4t y(0) = 1, y'(0) = -1
Q1: Use Laplace transforms to solve the initial value problem x" – 2x' + 5x = 1, 2(0) = 0, x'(0) = 0. 111. 7177J71111
Use the Laplace transform to solve initial value problems 3. tx" + 2(t-1)x' - 2x = 2, x(0) = 0.
In the following problems, solve the given initial value problem using the method of Laplace transforms (a) y" – 7y' + 10y = 9 cost + 7 sint, y(0) = 5, y'(0) = -4 (5 Marks] (b) y" + y = 12 + 2, y(0) = 1, y'(0) = -1 [5 Marks]
Use Laplace transforms to solve the following initial value problem. X' + 2y' + x = 0, x'- y' + y = 0, x(0) = 0, y(0) = 400 Click the icon to view the table of Laplace transforms. The particular solution is x(t) = and y(t) = (Type an expression using t as the variable. Type an exact answer, using radicals as need
Use Laplace transforms to solve the following initial value problem. x"' + 6x' + 25x = 0; x(0) = 5, x'(0) = 6 Click the icon to view the table of Laplace transforms. X(t) = (Type an expression using t as the variable.)
??? Solve the initial value problem using the Laplace transform method x" + 2x' + x = t + 8(t – 2) x(0) = 0, x'(0) = 1
Use Laplace transforms to solve the following initial value problem. x" + x = sin 8t, x(0) = 0, x'(0) = 0 Click the icon to view the table of Laplace transforms. The solution is x(t) = (Type an expression using t as the variable. Type an exact answer.)