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Beliebt Rechnen >

(x+1)(dy)/(dx)+xy=ln(x)

Lösung

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

Lösung

y = \frac{( x + 1 ) \cdot \int \frac{e ^{x + 1 + c_{1}} l n ( x )}{( x + 1 ) ^{2}} d x}{e ^{x + 1 + c_{1}}}

Schritte zur Lösung

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

Solve linear ODE:

y = \frac{( x + 1 ) \cdot \int \frac{e ^{x + 1 + c_{1}} l n ( x )}{( x + 1 ) ^{2}} d x}{e ^{x + 1 + c_{1}}}

y = \frac{( x + 1 ) \cdot \int \frac{e ^{x + 1 + c_{1}} l n ( x )}{( x + 1 ) ^{2}} d x}{e ^{x + 1 + c_{1}}}

Beliebte Beispiele

derivative f(x)=8xe^xcsc(x)

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