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Beliebt Rechnen >

y^'=(4xsec(y/x)+y)/x

Lösung

y^{^{'}} = \frac{4 x sec ( \frac{y}{x} ) + y}{x}

Lösung

y = arcsin (4 ln (x) + c_{1}) x + 2 πn x, y = π x + arcsin (- 4 ln (x) - c_{1}) x + 2 πn x

Schritte zur Lösung

y^{'} (x) = \frac{4 x sec ( \frac{y}{x} ) + y}{x}

Solve using substitution:

y = arcsin (4 ln (x) + c_{1}) x + 2 πn x, y = π x + arcsin (- 4 ln (x) - c_{1}) x + 2 πn x

y = arcsin (4 ln (x) + c_{1}) x + 2 πn x, y = π x + arcsin (- 4 ln (x) - c_{1}) x + 2 πn x

Graph

Beliebte Beispiele

y^{^{''}} + π y = 0

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