erweitern e^ycos(x)+cos(x)+(e^ysin(x)+e^y)y'(x)

Lösung

erweitern

e^{y} cos (x) + cos (x) + (e^{y} sin (x) + e^{y}) y^{'} (x)

e^{y} cos (x) + cos (x) + e^{y} sin (x) y' (x) + e^{y} y' (x)

Schritte zur Lösung

e^{y} cos (x) + cos (x) + (e^{y} sin (x) + e^{y}) y^{'} (x)

Multipliziere aus

y^{'} (x) (e^{y} sin (x) + e^{y}) : e^{y} sin (x) y^{'} (x) + e^{y} y^{'} (x)

= e^{y} cos (x) + cos (x) + e^{y} sin (x) y^{'} (x) + e^{y} y^{'} (x)

e x p an d csc (5 x) (sin (2 x) o s^{5} x + sin (5 x) - sin (7 x))

e x p an d \frac{3 x ^{3} + 5 x ^{2} + 2 x}{( x - 1 ) ^{3}}

e x p an d (3 + (- 5) x) y^{''} (x) + (5 x) y^{'} (x) + 3 y

e x p an d I n (x x^{2} + y^{2})

e x p an d (x - 3) (x - (3 + i)) (x - (3 - i))