y^{''}=sin(x)

Lösung

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

y = - sin (x) + c_{1} x + c_{2}

Schritte zur Lösung

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

Löse

y^{''} (x) = sin (x) : y^{'} (x) = - cos (x) + c_{1}

Löse

y^{'} (x) = - cos (x) + c_{1} : y = - sin (x) + c_{1} x + c_{2}

y = - sin (x) + c_{1} x + c_{2}

x (\frac{d y}{d x}) - y = (\frac{x ^{3}}{y}) e^{\frac{y}{x}}

x \to 0 lim (\frac{e ^{∣ x ∣} - 1}{x})

\frac{d y}{d t} = \frac{4 t}{k} - 0.1 y t

\int_{0}^{π} 8 sin^{4} (x) d x

d er i v a t i v e ln (sec (3 x) + tan (3 x))