# Solve differential equation using Laplace transform

The question is to solve the following differential equation

$x'''(t)-2x''(t)+5x'=0$, $x(0)=0$, $x'(0)=0$, $x''(0)=1$

using Laplace transform.

i got this solution so far but it isn't working, please help.

```
# Define symbolic variable
t = var('t')
# Define the function x(t) and its derivatives
x = function('x')(t)
x1 = diff(x, t)
x2 = diff(x1, t)
# Define the differential equation
diff_eq = x^3 - 2*x^2 + 5*x == 0
# Define initial conditions
initial_conditions = [x(0) == 0, x1(0) == 0, x2(0) == 1]
# Solve the differential equation
solutions = desolve_system([diff_eq] + initial_conditions, [x(t)], ivar=t)
# Display the solution
print(solutions[0])
```