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Beliebt Rechnen >

(dy}{dx}=\frac{e^{3x}+3xy+y)/x

Lösung

\frac{d y}{d x} = \frac{e ^{3 x} + 3 x y + y}{x}

Lösung

y = - e^{3 x} + \frac{c _{1} x}{e ^{- 3 x + c_{1}}}

Schritte zur Lösung

\frac{d y}{d x} = \frac{e ^{3 x} + 3 x y + y}{x}

Solve linear ODE:

y = - e^{3 x} + \frac{c _{1} x}{e ^{- 3 x + c_{1}}}

y = - e^{3 x} + \frac{c _{1} x}{e ^{- 3 x + c_{1}}}

Graph

Beliebte Beispiele

(d^2)/(dx^2)((3x-2)/(2x+1))

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

derivative of (log_{3}(x)/(log_{7)(x)})

\frac{d}{d x} (\frac{lo g _{3} ( x )}{lo g _{7} ( x )})

integral of x^2-cos(x)

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

d x + e^{5 x} d y = 0

laplacetransform s^2+2s+1

l a pl a ce t r an s f or m s^{2} + 2 s + 1