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Beliebt Rechnen >

7x^2(dy)/(dx)=(dy)/(dx)+7xe^{-y}

Lösung

7 x^{2} \frac{d y}{d x} = \frac{d y}{d x} + 7 x e^{- y}

Lösung

y = ln (\frac{1}{2} ln (7 x^{2} - 1) + c_{1})

Schritte zur Lösung

7 x^{2} \frac{d y}{d x} = \frac{d y}{d x} + 7 x e^{- y}

Solve separable ODE:

y = ln (\frac{1}{2} ln (7 x^{2} - 1) + c_{1})

y = ln (\frac{1}{2} ln (7 x^{2} - 1) + c_{1})

Graph

Beliebte Beispiele

t^2y^{''}+4ty^'-18y=0

t^{2} y^{^{''}} + 4 t y^{^{'}} - 18 y = 0

(\partial)/(\partial x)(-2xe^{-3xy})

\frac{\partial}{\partial x} (- 2 x e^{- 3 x y})

derivative e^{3/x}

d er i v a t i v e e^{\frac{3}{x}}

integral of cos^3(x/(13))

\int cos^{3} (\frac{x}{13}) d x

derivative y=(9x^4+5x)^3

d er i v a t i v e y = (9 x^{4} + 5 x)^{3}