erweitern (sin(t)-e^{3t})u(t-pi)

Lösung

erweitern

(sin (t) - e^{3 t}) u (t - π)

t u sin (t) - π u sin (t) - e^{3 t} t u + π e^{3 t} u

Schritte zur Lösung

(sin (t) - e^{3 t}) u (t - π)

= u (sin (t) - e^{3 t}) (t - π)

Multipliziere aus

(sin (t) - e^{3 t}) (t - π) : t sin (t) - π sin (t) - e^{3 t} t + π e^{3 t}

= u (t sin (t) - π sin (t) - e^{3 t} t + π e^{3 t})

Multipliziere aus

u (t sin (t) - π sin (t) - e^{3 t} t + π e^{3 t}) : t u sin (t) - π u sin (t) - e^{3 t} t u + π e^{3 t} u

= t u sin (t) - π u sin (t) - e^{3 t} t u + π e^{3 t} u

e x p an d \frac{( n ^{2} + 2 n + 3 )}{( n + 1 ) ^{2}}

e x p an d \frac{1}{s ^{2} ( s + 5 )}

e x p an d (t - 1)^{2} (H (t - 1) - H (t - 3))

e x p an d d x [(x + 1) sin (x) - x cos (x)]

e x p an d - \frac{3 ( e ^{6} - 1 )}{8 e ^{8}}