3. Use Laplace transforms to solve the following initial value problems. Write the solution (t) f...
Use Laplace Transforms to solve the initial value problem.x^(11)= x double primex(1)=x prime10.) x^(11) +3x^(1) +2x = t ; x(0)=0 and x^(1)(0)=2I know the answer => x(t)=(1/4)(2t -3 +12e^(-t) -9e^(-2t)), butI do not know how to get that answer. Please show step by stepprocess. I will rate lifesaver.You might need the Laplace transforms table to answer. And youdefinitely use integrals.
Use Laplace Transforms to solve the initial value problemy'' + y = 3 sin(2t)-3 sin(2t)u(t-2pi), y(0)=1 , y'(0)= -2First find the laplace transform Y(s) of y(t)Y(s)=Now find y(t)y(t)=
1. Use Laplace transforms to solve the initial value problem -a) b) c)
Use Laplace transforms to solve the initialvalue problems.1. x'' + 8x' + 15x = 0; x(0) = 2, x'(0) = -32. x'' + 4x = cost; x(0) = 0 = x'(0)3. x'' + 9x = 1; x(0) = 0 = x'(0)
Use Laplace transforms to solve the initial value problemsx''+2x+4y=0y''+x+2y=0x(0)=y(0)=0x'(0)=y'(0)=-1
Use Laplace transforms to solve the initial value problemsx'= x + 2y, y'=x+e^(-t); x(0)=y(0)=0
5) Solve the following equation for f(t), t> 0, using Laplace transforms. 5) Solve the following equation for f(t), t> 0, using Laplace transforms.
5) Use the method of Laplace transforms to the solve the following boundary value problem IC: u(x, 0) 2 in the following way: a) Apply the Laplace transform in the variable of t to obtain the initial value problem b) Show that U =-+ cie'sz +cge-Vsz s the general solution to the above equation and solve for the constants c and c2 to obtain that c) By taking a power series about the origin and using the identities, sinh iz-...
Use Laplace transforms to solve the initial value problemsx'' + x' + y' +2x -y = 0, y'' + x' + y' +4x -2y = 0x(0) = y(0) = 1x'(0) = y'(0) = 0
Use Laplace transforms to solve the initial value problemsx' + 2y' + x = 0, x' - y' + y = 0; x(0) = 0, y(0) = 1