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Beliebt Rechnen >

(dy)/(dx)=x+2xy

Lösung

\frac{d y}{d x} = x + 2 x y

Lösung

y = \frac{e ^{x^{2} + c_{1}}}{2} - \frac{1}{2}

Schritte zur Lösung

\frac{d y}{d x} = x + 2 x y

Solve separable ODE:

y = \frac{e ^{x^{2} + c_{1}}}{2} - \frac{1}{2}

y = \frac{e ^{x^{2} + c_{1}}}{2} - \frac{1}{2}

Graph

Beliebte Beispiele

y^{''}-2y^'=(4t+9)sin(2t)

y^{^{''}} - 2 y^{^{'}} = (4 t + 9) sin (2 t)

derivative of 3/2 sin(2x)

\frac{d}{d x} (\frac{3}{2} sin (2 x))

derivative of sqrt(2sin(x))

\frac{d}{d x} (2 sin (x))

integral of xcsc^2(4x)

\int x csc^{2} (4 x) d x

integral from-1 to 1 of 0.09375(4-x^2)

\int_{- 1}^{1} 0.09375 (4 - x^{2}) d x