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Beliebt Rechnen >

y^'= 1/2 (y^2)+1

Lösung

y^{^{'}} = \frac{1}{2} (y^{2}) + 1

Lösung

y = tan (\frac{2 ( t + c _{1} )}{2}) 2

Schritte zur Lösung

y^{'} (t) = \frac{1}{2} (y^{2}) + 1

Solve separable ODE:

y = tan (\frac{2 ( t + c _{1} )}{2}) 2

y = tan (\frac{2 ( t + c _{1} )}{2}) 2

Graph

Beliebte Beispiele

2x-6ysqrt(x^2+1)(dy)/(dx)=0,y(0)=-1

2 x - 6 y x^{2} + 1 \frac{d y}{d x} = 0, y (0) = - 1

(dx)/(dt)=-x^2+4x

\frac{d x}{d t} = - x^{2} + 4 x

(dx)/(dt)+cos(t)x-cos(t)=0

\frac{d x}{d t} + cos (t) x - cos (t) = 0

y^'=y(1-y/(2000))

y^{^{'}} = y (1 - \frac{y}{2000})

(dx)/(dt)=12-(36x)/(100)

\frac{d x}{d t} = 12 - \frac{36 x}{100}