I convert following differential equation to the s domain:
As solution I get:
s^2*laplace(y(t),t,s)-D(y)(0)-s*y(0)+3*s*laplace(y(t),t,s)-3*y(0)+2*laplace(y(t),t,s) = -30/(s+3)
It's not really a Maple problem but I don't understand why the right hand side of the equation is -30/(s+3) .
When I transform the right hand side of the differential equation manual to the laplace domain I would do it as:
diff(x(t),t) = s*X(s) = s * 10 /(s+3)
That's something different from what maple gives me and it also gives me a different solution for the differential equation.
Could someone tell me what I am doing wrong here?
Also when I construct the transfertfunction H(s) and I multiply it with X(s) and do an inverse Laplace transformation I get another solution then when I let maple solve it with initial conditions y(0)=0 and D(y)(0)=0.