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Beliebt Rechnen >

2x^2y^'=y^'+6xe^{(-y)}

Lösung

2 x^{2} y^{^{'}} = y^{^{'}} + 6 x e^{(- y)}

Lösung

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

Schritte zur Lösung

2 x^{2} y^{'} (x) = y^{'} (x) + 6 x e^{(- y)}

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

integral of 2/3 t^{3/2}-2sin(t)+C

\int \frac{2}{3} t^{\frac{3}{2}} - 2 sin (t) + C d t

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\int (5 x - x^{2}) d x

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\int \frac{x}{3 x} d x

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\int 10 x^{5} e^{x} d x

7(dy)/(dx)=(e^ysin^2(x))/(ysec(x))

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