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Beliebt Rechnen >

(dy)/(dx)-2(x+1)^3= 4/((x+1))y

Lösung

\frac{d y}{d x} - 2 (x + 1)^{3} = \frac{4}{( x + 1 )} y

Lösung

y = 2 ln (x + 1) (x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1) + c_{1} (x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1)

Schritte zur Lösung

\frac{d y}{d x} - 2 (x + 1)^{3} = \frac{4}{( x + 1 )} y

Solve linear ODE:

y = 2 ln (x + 1) (x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1) + c_{1} (x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1)

y = 2 ln (x + 1) (x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1) + c_{1} (x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1)

Graph

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