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Beliebt Rechnen >

(dy)/(dx)+yln(x)=3ln(x)

Lösung

\frac{d y}{d x} + y ln (x) = 3 ln (x)

Lösung

y = e^{x + c_{1}} x^{- x} + 3

Schritte zur Lösung

\frac{d y}{d x} + y ln (x) = 3 ln (x)

Solve separable ODE:

y = e^{x + c_{1}} x^{- x} + 3

y = e^{x + c_{1}} x^{- x} + 3

Graph

Beliebte Beispiele

(dy)/(dx)=(y(y+1))/(x+1)

\frac{d y}{d x} = \frac{y ( y + 1 )}{x + 1}

y^'=(1+y^6)/(xy^5),y(1)=1

y^{^{'}} = \frac{1 + y ^{6}}{x y ^{5}}, y (1) = 1

(dy)/(dx)ax^2y=7

\frac{d y}{d x} a x^{2} y = 7

(df)/(dx)=1-(r)f(x)

\frac{df}{d x} = 1 - (r) f (x)

(dz)/(dt)=6te^{4z}

\frac{d z}{d t} = 6 t e^{4 z}