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Beliebt Rechnen >

(dy)/(dx)=(e^x)/(y+2)

Lösung

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

Lösung

y = \frac{- 4 + 16 - 4 ( - c _{1} - 2 e ^{x} )}{2}, y = \frac{- 4 - 16 - 4 ( - c _{1} - 2 e ^{x} )}{2}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{- 4 + 16 - 4 ( - c _{1} - 2 e ^{x} )}{2}, y = \frac{- 4 - 16 - 4 ( - c _{1} - 2 e ^{x} )}{2}

y = \frac{- 4 + 16 - 4 ( - c _{1} - 2 e ^{x} )}{2}, y = \frac{- 4 - 16 - 4 ( - c _{1} - 2 e ^{x} )}{2}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(x^2-7x+12)

\frac{\partial}{\partial x} (x^{2} - 7 x + 12)

integral of x/(sqrt(x^4-16))

\int \frac{x}{x ^{4} - 16} d x

x^2y^{''}-7xy^'+12y=0

x^{2} y^{^{''}} - 7 x y^{^{'}} + 12 y = 0

integral of x/(cos^2(x^2))

\int \frac{x}{cos ^{2} ( x ^{2} )} d x

integral of x^2sin(xz)

\int x^{2} sin (x z) d z