How to solve and plot a step response for a differential

I need to solve a second order differential and plot the step response using matlab. The equation: 5x"+20x'+65x=f(t), f(t)=5t and 0 lessthan or equal to t less than or equal to 1.5.

Answer 1

[Birdman]

Try the following code. Note that I used dsolve, laplace and syms2tf functions.

syms x(t)
eq=5*diff(x,2)+20*diff(x)+65*x==5*t
DX=diff(x);
solx=dsolve(eq,[x(0)==0,DX(0)==0])
Gs=syms2tf(laplace(solx))
step(Gs)
set(gca,'XLim',[0 1.5])

Answer 2

[Vijay Periasamy]

try the function Step_ODE

https://in.mathworks.com/matlabcentral/fileexchange/65201-step-response-of-a-non-linear-differential-equation-system