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Beliebt Rechnen >

xcos(y/x)(dy)/(dx)=ycos(y/x)-x

Lösung

x cos (\frac{y}{x}) \frac{d y}{d x} = y cos (\frac{y}{x}) - x

Lösung

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

Schritte zur Lösung

x cos (\frac{y}{x}) \frac{d y}{d x} = y cos (\frac{y}{x}) - x

Solve using substitution:

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

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

Graph

Beliebte Beispiele

(\partial)/(\partial x)(2/(x^2)+y)

\frac{\partial}{\partial x} (\frac{2}{x ^{2}} + y)

fläche-4x^2+x-25,-3x^2+17x+38

a re a - 4 x^{2} + x - 25, - 3 x^{2} + 17 x + 38

derivative (95t)/(99t-95)

d er i v a t i v e \frac{95 t}{99 t - 95}

integral of (2x)/(x^2+100)

\int \frac{2 x}{x ^{2} + 100} d x

limit as x approaches 2 of 2x-5

x \to 2 lim (2 x - 5)