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Beliebt Rechnen >

derivative of (y^2)+(dy)/(dx)-2y=0

Lösung

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

Lösung

y = \frac{W ( \frac{2}{e ^{- 2 x - c_{1}}} )}{2}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{W ( \frac{2}{e ^{- 2 x - c_{1}}} )}{2}

y = \frac{W ( \frac{2}{e ^{- 2 x - c_{1}}} )}{2}

Beliebte Beispiele

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

y^{^{'}} = e^{y}, y (0) = 0

2x^3\H(x)(x)^2dx+x^4\H(x)d\H(x)=0

2 x^{3} H (x) (x)^{2} d x + x^{4} H (x) d H (x) = 0

(1+x^2)*y^'=x(1-y)

(1 + x^{2}) \cdot y^{^{'}} = x (1 - y)

(dy)/(dx)-2xy=4x,y(0)=3

\frac{d y}{d x} - 2 x y = 4 x, y (0) = 3