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Beliebt Rechnen >

(dy)/(dx)=-y^2,y(1)= 1/2

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(dy)/(dx)= 1/(sqrt(y))

\frac{d y}{d x} = \frac{1}{y}

derivative of sin(x-cos(y)-2)=0

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

(dy)/(dx)=(15x^2-6x+2)/((y+2))

\frac{d y}{d x} = \frac{15 x ^{2} - 6 x + 2}{( y + 2 )}

(dy)/(dx)=(1+x)/(xy^6),y(1)=5

\frac{d y}{d x} = \frac{1 + x}{x y ^{6}}, y (1) = 5

(dy)/(dx)=3x^2+3x^2y^2

\frac{d y}{d x} = 3 x^{2} + 3 x^{2} y^{2}