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Beliebt Rechnen >

(dy)/(dt)y=arccot(sqrt(4t))

Lösung

\frac{d y}{d t} y = arccot (4 t)

Lösung

y = \frac{4 t arccot ( 2 t ) - arctan ( 2 t ) + 2 t + c _{1}}{2}, y = - \frac{4 t arccot ( 2 t ) - arctan ( 2 t ) + 2 t + c _{1}}{2}

Schritte zur Lösung

\frac{d y}{d t} y = arccot (4 t)

Solve separable ODE:

y = \frac{4 t arccot ( 2 t ) - arctan ( 2 t ) + 2 t + c _{1}}{2}, y = - \frac{4 t arccot ( 2 t ) - arctan ( 2 t ) + 2 t + c _{1}}{2}

y = \frac{4 t arccot ( 2 t ) - arctan ( 2 t ) + 2 t + c _{1}}{2}, y = - \frac{4 t arccot ( 2 t ) - arctan ( 2 t ) + 2 t + c _{1}}{2}

Graph

Beliebte Beispiele

(3x^2y-x^2)dx+dy=0

(3 x^{2} y - x^{2}) d x + d y = 0

y^'=5x^3y^{1/5},y(0)=0

y^{^{'}} = 5 x^{3} y^{\frac{1}{5}}, y (0) = 0

(dy)/(dx)=7x+2xy,y(0)=1

\frac{d y}{d x} = 7 x + 2 x y, y (0) = 1

\frac{d x}{d t} = 3 x + 1

e^xy^'=2(x+1)y^2

e^{x} y^{^{'}} = 2 (x + 1) y^{2}