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Beliebt Rechnen >

(dy)/(dx)=sqrt(y)cos^2(sqrt(y))

Lösung

\frac{d y}{d x} = y cos^{2} (y)

Lösung

y = arctan^{2} (\frac{x + c _{1}}{2}) + 2 πn arctan (\frac{x + c _{1}}{2}) + π^{2} n^{2}

Schritte zur Lösung

\frac{d y}{d x} = y cos^{2} (y)

Solve separable ODE:

y = arctan^{2} (\frac{x + c _{1}}{2}) + 2 πn arctan (\frac{x + c _{1}}{2}) + π^{2} n^{2}

y = arctan^{2} (\frac{x + c _{1}}{2}) + 2 πn arctan (\frac{x + c _{1}}{2}) + π^{2} n^{2}

Graph

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