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Beliebt Rechnen >

(dy)/(dx)=e^xsin(y)

Lösung

\frac{d y}{d x} = e^{x} sin (y)

Lösung

y = 2 arctan (e^{e^{x} + c_{1}}) + 2 πn

Schritte zur Lösung

\frac{d y}{d x} = e^{x} sin (y)

Solve separable ODE:

y = 2 arctan (e^{e^{x} + c_{1}}) + 2 πn

y = 2 arctan (e^{e^{x} + c_{1}}) + 2 πn

Graph

Beliebte Beispiele

(dp)/(dt)=t^2p-3p+t^2-3

\frac{d p}{d t} = t^{2} p - 3 p + t^{2} - 3

\frac{d x}{d t} = 3 x

(dy}{dx}=\frac{x^2+1)/y

\frac{d y}{d x} = \frac{x ^{2} + 1}{y}

(dy)/(dx)=-x/(ye^{x^2)},y(0)=1

\frac{d y}{d x} = - \frac{x}{y e ^{x^{2}}}, y (0) = 1

y^'=(1+y)/(1+x)

y^{^{'}} = \frac{1 + y}{1 + x}