Mathematics Differential Equations Laplace Transform
show that
2f''(t)-f'(t)-f(t)=sin(t)-cos(t)
where
f(0)=f'(0)
has the solution
(-2/5)e^(-t/2)-(1/5)sin(t)+(2/5)cos(t)
using laplace tranformation
plz plz plz show step by step
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