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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

y^'=2y^{-2},y(0)=3

y^{^{'}} = 2 y^{- 2}, y (0) = 3

(y+2)dx+sqrt(25-x^2)dy=0

(y + 2) d x + 25 - x^{2} d y = 0

2x^2y+3xy^'-15y=0

2 x^{2} y + 3 x y^{^{'}} - 15 y = 0

-5(dy)/(dx)=2y-150

- 5 \frac{d y}{d x} = 2 y - 150

(ln(y))^2(dy)/(dx)=x^2y

(ln (y))^{2} \frac{d y}{d x} = x^{2} y