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Beliebt Rechnen >

(dy)/(dx)-(y^2-y)/(sin(x))=0

Lösung

\frac{d y}{d x} - \frac{y ^{2} - y}{sin ( x )} = 0

Lösung

y = \frac{1}{1 - c _{1} tan ( \frac{x}{2} )}

Schritte zur Lösung

\frac{d y}{d x} - \frac{y ^{2} - y}{sin ( x )} = 0

Solve separable ODE:

y = \frac{1}{1 - c _{1} tan ( \frac{x}{2} )}

y = \frac{1}{1 - c _{1} tan ( \frac{x}{2} )}

Graph

Beliebte Beispiele

\frac{d y}{d x} = a - b y

(dy)/(dx)=12x^3e^y

\frac{d y}{d x} = 12 x^{3} e^{y}

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

(dy)/(dx)=(x^2+1)/(2-y)

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

(dy)/(dx)=((x-1)^2)/(3y)

\frac{d y}{d x} = \frac{( x - 1 ) ^{2}}{3 y}