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Beliebt Rechnen >

(dy)/(dx)-y^5=0,y(0)=1

Lösung

\frac{d y}{d x} - y^{5} = 0, y (0) = 1

Lösung

y = 4 - \frac{1}{4 x - 1}

Schritte zur Lösung

\frac{d y}{d x} - y^{5} = 0

Solve separable ODE:

y = 4 - \frac{1}{4 x - 1}

y = 4 - \frac{1}{4 x - 1}

Graph

Beliebte Beispiele

2(x^2+1)(dy)/(dx)=x(4-y^2)

2 (x^{2} + 1) \frac{d y}{d x} = x (4 - y^{2})

(1+x^2)(dy)/(dx)+2xy=-x,x>0

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

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x^3y^'-(8x^2-5)y=0

x^{3} y^{^{'}} - (8 x^{2} - 5) y = 0

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

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