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Beliebt Rechnen >

(dy)/(dx)=sqrt(9ye^{x+4)}

Lösung

\frac{d y}{d x} = 9 y e^{x + 4}

Lösung

y = 9 e^{x + 4} + 3 c_{1} e^{\frac{1}{2} x + 2} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

\frac{d y}{d x} = 9 y e^{x + 4}

Solve separable ODE:

y = 9 e^{x + 4} + 3 c_{1} e^{\frac{1}{2} x + 2} + \frac{c _{1}^{2}}{4}

y = 9 e^{x + 4} + 3 c_{1} e^{\frac{1}{2} x + 2} + \frac{c _{1}^{2}}{4}

Graph

Beliebte Beispiele

derivative of e^{-x+3}

\frac{d}{d x} (e^{- x + 3})

derivative of cos^2(x^2-2)

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

(\partial)/(\partial x)((sqrt(y))/(2sqrt(x)))

\frac{\partial}{\partial x} (\frac{y}{2 x})

integral of (\sqrt[3]{x}+1)^2

\int (3 x + 1)^{2} d x

t^2y^'+ty=3,y(1)=6

t^{2} y^{^{'}} + t y = 3, y (1) = 6