(dy)/(dx)=7x

Lösung

\frac{d y}{d x} = 7 x

y = \frac{7 x ^{2}}{2} + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = 7 x

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = 7 x

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

y = \int 7 x d x

\int 7 x d x = \frac{7 x ^{2}}{2} + c_{1}

y = \frac{7 x ^{2}}{2} + c_{1}

f (x) = ln ∣ x ∣

\frac{d}{d t} (3 t^{2} - 30 t + 72)

\frac{d}{d x} (4 x e^{5 x})

\int \frac{x ^{2}}{( 5 - x ^{3} ) ^{2}} d x

\int e^{5 x} (5) d x