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Beliebt Rechnen >

2ye^{y^2}y^'=2x+3sqrt(x)

Lösung

2 y \cdot e^{y^{2}} \cdot y^{^{'}} = 2 x + 3 x

Lösung

y = ln (x^{2} + 2 x^{\frac{3}{2}} + c_{1}), y = - ln (x^{2} + 2 x^{\frac{3}{2}} + c_{1})

Schritte zur Lösung

2 y \cdot e^{y^{2}} \cdot y^{'} (x) = 2 x + 3 x

Solve separable ODE:

y = ln (x^{2} + 2 x^{\frac{3}{2}} + c_{1}), y = - ln (x^{2} + 2 x^{\frac{3}{2}} + c_{1})

y = ln (x^{2} + 2 x^{\frac{3}{2}} + c_{1}), y = - ln (x^{2} + 2 x^{\frac{3}{2}} + c_{1})

Graph

Beliebte Beispiele

y \cdot y^{^{'}} - x = 0

t y^{^{'}} + 2 y = \frac{1}{2}

y^'=(1-5x)y^2,y(0)=-1/8

y^{^{'}} = (1 - 5 x) y^{2}, y (0) = - \frac{1}{8}

(dy)/(dx)=e^{2x+y},y(0)=0

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

(dy)/(dx)=y+5,y(3)=2

\frac{d y}{d x} = y + 5, y (3) = 2