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Beliebt Rechnen >

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

Lösung

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

Lösung

y = \frac{x ^{2}}{4} + \frac{x}{2} + \frac{1}{4}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{x ^{2}}{4} + \frac{x}{2} + \frac{1}{4}

y = \frac{x ^{2}}{4} + \frac{x}{2} + \frac{1}{4}

Graph

Beliebte Beispiele

y=e^{3/(2x)}(dy)/(dx)

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

e^x(x+1)y^2dx+2xe^xy^1dy=0

e^{x} (x + 1) y^{2} d x + 2 x e^{x} y^{1} d y = 0

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

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

y^{^{'}} = 1 + 0.001 y^{2}

x^{^{'}} = 8 x + 3