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Beliebt Rechnen >

xsin(y/x)(dy)/(dx)=ysin(y/x)+x

Lösung

x sin (\frac{y}{x}) \frac{d y}{d x} = y sin (\frac{y}{x}) + x

Lösung

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

Schritte zur Lösung

x sin (\frac{y}{x}) \frac{d y}{d x} = y sin (\frac{y}{x}) + x

Solve using substitution:

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

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

Graph

Beliebte Beispiele

integral of 1/(a^2+v^2)

\int \frac{1}{a ^{2} + v ^{2}} d v

limit as x approaches 4+of 2/(x-4)

x \to 4 + lim (\frac{2}{x - 4})

integral from 1 to e^5 of x^2ln(x)

\int_{1}^{e^{5}} x^{2} ln (x) d x

integral of 1/((2x)^3)

\int \frac{1}{( 2 x ) ^{3}} d x

-10x^2y+(dy)/(dx)=9x^2

- 10 x^{2} y + \frac{d y}{d x} = 9 x^{2}