use laplace transform to solve the initial value problem x'' +3x'-10x=5e^-4t; x(0)=3, x'(0)=-10

Expert Solution

milcah answered 2 years ago

Solve this Initial Value Problem using the Laplace transform: x''(t) - x'(t) - 6x(t) = e^(4t),...

Solve this Initial Value Problem using the Laplace transform: x''(t) - x'(t) - 6x(t) = e^(4t), x(0) = 1, x'(0) = 1

2. Use the Laplace transform to solve the initial value problem. ?"+4?=?(?), ?(0)=1, ?′(0)=−1 = {...

2. Use the Laplace transform to solve the initial value problem. ?"+4?=?(?), ?(0)=1, ?′(0)=−1 = { 1, ? < 1 where ?(?) = {0, ? > 1.

Use Laplace transforms to solve the initial value problem x′′+4x′+3x=t,x(0)=0,x′(0)=3, where primes indicate derivatives with respect...

Use Laplace transforms to solve the initial value problem x′′+4x′+3x=t,x(0)=0,x′(0)=3, where primes indicate derivatives with respect to t.

Use a Laplace transform to solve the initial value problem: y''' =y+1, y(0) = 0, y'(0)...

Use a Laplace transform to solve the initial value problem: y''' =y+1, y(0) = 0, y'(0) = 0, y''(0) = 0.

1. Use the Laplace transform to solve the initial value problem. ?"+4?′+3?=1−?(?−2)−?(?−4)+?(?−6), ?(0)=0, ?′(0)=0 2. Use...

1. Use the Laplace transform to solve the initial value problem. ?"+4?′+3?=1−?(?−2)−?(?−4)+?(?−6), ?(0)=0, ?′(0)=0 2. Use the Laplace transform to solve the initial value problem. ?"+4?=?(?), ?(0)=1, ?′(0)=−1 = { 1, ? < 1 where ?(?) = {0, ? > 1.

Use Laplace transform to solve the initial value problem y''+y'= π with y(0) = π, y'(0)...

Use Laplace transform to solve the initial value problem y''+y'= π with y(0) = π, y'(0) = 0.

Use the Laplace transform to solve the following initial value problem: x′=12x+3y y′=−9x+e^(3t) x(0)=0, y(0)=0 Let...

Use the Laplace transform to solve the following initial value problem: x′=12x+3y y′=−9x+e^(3t) x(0)=0, y(0)=0 Let X(s)=L{x(t)}, and Y(s)=L{y(t)}. Find the expressions you obtain by taking the Laplace transform of both differential equations and solving for Y(s) and X(s): X(s)= Y(s)= Find the partial fraction decomposition of X(s)X(s) and Y(s)Y(s) and their inverse Laplace transforms to find the solution of the system of DEs: x(t) y(t)

use laplace transform to solve the initial value problem: y''+4y=3sint y(0)=1, y'(0)=-1

Use the Laplace transform to solve the following initial value problem, y′′ − y′ − 30y ...

Use the Laplace transform to solve the following initial value problem, y′′ − y′ − 30y = δ(t − 7),y(0) = 0, y′(0) = 0. The solution is of the form ?[g(t)] h(t). (a) Enter the function g(t) into the answer box below. (b) Enter the function h(t) into the answer box below.

Use the Laplace transform to solve the given initial-value problem. y'' − 7y' = 12e6t −...

Use the Laplace transform to solve the given initial-value problem. y'' − 7y' = 12e6t − 6e−t, y(0) = 1, y'(0) = −1

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