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Beliebt Rechnen >

(dy}{dx}=\frac{5xsec(y/x)+y)/x

Lösung

\frac{d y}{d x} = \frac{5 x sec ( \frac{y}{x} ) + y}{x}

Lösung

y = arcsin (5 ln (x) + c_{1}) x + 2 πn x, y = π x + arcsin (- 5 ln (x) - c_{1}) x + 2 πn x

Schritte zur Lösung

\frac{d y}{d x} = \frac{5 x sec ( \frac{y}{x} ) + y}{x}

Solve using substitution:

y = arcsin (5 ln (x) + c_{1}) x + 2 πn x, y = π x + arcsin (- 5 ln (x) - c_{1}) x + 2 πn x

y = arcsin (5 ln (x) + c_{1}) x + 2 πn x, y = π x + arcsin (- 5 ln (x) - c_{1}) x + 2 πn x

Graph

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