erweitern (y^2+ty^2)y'(t)+t^2-yt^2

Lösung

erweitern

(y^{2} + t y^{2}) y^{'} (t) + t^{2} - y t^{2}

y' (t) y^{2} + t y' (t) y^{2} + t^{2} - y t^{2}

Schritte zur Lösung

(y^{2} + t y^{2}) y^{'} (t) + t^{2} - y t^{2}

= (y^{2} + t y^{2}) y^{^{'}} (t) + t^{2} - t^{2} y

Multipliziere aus

y^{'} (t) (y^{2} + t y^{2}) : y^{'} (t) y^{2} + t y^{'} (t) y^{2}

= y^{'} (t) y^{2} + t y^{'} (t) y^{2} + t^{2} - y t^{2}

e x p an d (8 e^{2} b^{5} - 10)^{2}

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

\frac{\partial}{\partial y} ((z) (x e^{yz} + y e^{x z} + 3 x yz - 2))

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

e x p an d \frac{1}{( a - x ) ( b - x )}