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Beliebt Rechnen >

5xcos(5y)dy-sin(5y)dx=0

Lösung

5 x cos (5 y) d y - sin (5 y) d x = 0

Lösung

y = \frac{arcsin ( c _{1} x )}{5} + \frac{2 πn}{5}, y = \frac{π}{5} + \frac{arcsin ( - c _{1} x )}{5} + \frac{2 πn}{5}

Schritte zur Lösung

5 x cos (5 y) d y - sin (5 y) d x = 0

Solve separable ODE:

y = \frac{arcsin ( c _{1} x )}{5} + \frac{2 πn}{5}, y = \frac{π}{5} + \frac{arcsin ( - c _{1} x )}{5} + \frac{2 πn}{5}

y = \frac{arcsin ( c _{1} x )}{5} + \frac{2 πn}{5}, y = \frac{π}{5} + \frac{arcsin ( - c _{1} x )}{5} + \frac{2 πn}{5}

Graph

Beliebte Beispiele

xydx+sqrt(1+x^2)dy=0

x y d x + 1 + x^{2} d y = 0

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

y^{^{'}} + 20 x y = 0