erweitern (y-1)sin(3t)e^{cos(3t)}

Lösung

erweitern

(y - 1) sin (3 t) e^{c o s (3 t)}

e^{c o s (3 t)} y sin (3 t) - e^{c o s (3 t)} sin (3 t)

Schritte zur Lösung

(y - 1) sin (3 t) e^{c o s (3 t)}

= e^{c o s (3 t)} sin (3 t) (y - 1)

Wende das Distributivgesetz an:

a (b - c) = ab - a c

a = sin (3 t) e^{c o s (3 t)}, b = y, c = 1

= sin (3 t) e^{c o s (3 t)} y - sin (3 t) e^{c o s (3 t)} \cdot 1

= e^{c o s (3 t)} y sin (3 t) - 1 \cdot e^{c o s (3 t)} sin (3 t)

Multipliziere:

1 \cdot e^{c o s (3 t)} = e^{c o s (3 t)}

= e^{c o s (3 t)} y sin (3 t) - e^{c o s (3 t)} sin (3 t)

e x p an d \frac{1}{( s - 4 ) ( s + 6 )}

e x p an d \frac{2 ( 2 u ^{2} v ^{2} - 1 )}{u}

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

e x p an d v (1, 2) f (2, - 2)

e x p an d s (s + \frac{1}{15}) (3 s + 1)