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Beliebt Rechnen >

(x^2+2x-1)y^'-(x+1)y=x-1

Lösung

(x^{2} + 2 x - 1) y^{^{'}} - (x + 1) y = x - 1

Lösung

y = x^{2} + 2 x - 1 \cdot \int \frac{x - 1}{( x ^{2} + 2 x - 1 ) ^{\frac{3}{2}}} d x

Schritte zur Lösung

(x^{2} + 2 x - 1) y^{'} (x) - (x + 1) y = x - 1

Solve linear ODE:

y = x^{2} + 2 x - 1 \cdot \int \frac{x - 1}{( x ^{2} + 2 x - 1 ) ^{\frac{3}{2}}} d x

y = x^{2} + 2 x - 1 \cdot \int \frac{x - 1}{( x ^{2} + 2 x - 1 ) ^{\frac{3}{2}}} d x

Beliebte Beispiele

integral of t^2(t^3-4)^2

\int t^{2} (t^{3} - 4)^{2} d t

steigung (x-2)^4+e^{x-2}+(x-2*z)^2

s l o p e (x - 2)^{4} + e^{x - 2} + (x - 2 \cdot z)^{2}

\frac{d y}{d x} = x + 7 y

integral of 27x^{26}

\int 27 x^{26} d x

inverselaplace (-5s)/((s^2+1)^2)

in v erse l a pl a ce \frac{- 5 s}{( s ^{2} + 1 ) ^{2}}