y^'=(6xsec(y/x)+y)/x

Lösung

y^{^{'}} = \frac{6 x sec ( \frac{y}{x} ) + y}{x}

y = arcsin (6 ln (x) + c_{1}) x + 2 πn x, y = π x + arcsin (- 6 ln (x) - c_{1}) x + 2 πn x

Schritte zur Lösung

y^{'} (x) = \frac{6 x sec ( \frac{y}{x} ) + y}{x}

Solve using substitution:

y = arcsin (6 ln (x) + c_{1}) x + 2 πn x, y = π x + arcsin (- 6 ln (x) - c_{1}) x + 2 πn x

y = arcsin (6 ln (x) + c_{1}) x + 2 πn x, y = π x + arcsin (- 6 ln (x) - c_{1}) x + 2 πn x

\frac{d}{d x} (- \frac{8 x}{x ^{2} + 1})

\frac{d}{d x} (ln (4) lo g_{4} (x) + π^{3})

x \to 2 lim (3.9 + 9.6)

n = 0 \sum \infty \frac{10}{2 ^{n}}

\frac{d}{d x} (\frac{x}{6 x + 5})