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Beliebt Rechnen >

(x+1)^2y^'+5(x+1)y=16

Lösung

(x + 1)^{2} y^{^{'}} + 5 (x + 1) y = 16

Lösung

y = \frac{4}{x + 1} + \frac{c _{1}}{x ^{5} + 5 x ^{4} + 10 x ^{3} + 10 x ^{2} + 5 x + 1}

Schritte zur Lösung

(x + 1)^{2} y^{'} (x) + 5 (x + 1) y = 16

Solve linear ODE:

y = \frac{4}{x + 1} + \frac{c _{1}}{x ^{5} + 5 x ^{4} + 10 x ^{3} + 10 x ^{2} + 5 x + 1}

y = \frac{4}{x + 1} + \frac{c _{1}}{x ^{5} + 5 x ^{4} + 10 x ^{3} + 10 x ^{2} + 5 x + 1}

Graph

Beliebte Beispiele

sum from i=1 to infinity of 1/(i^2)

i = 1 \sum \infty \frac{1}{i ^{2}}

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\int e^{- 2 a x} d x

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\int (\frac{x ^{2} + 2 x - 3}{x ^{4}}) d x

fläche x=e^y,y=0,x=1,x=e^2

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integral of e^{-2x^2}x

\int e^{- 2 x^{2}} x d x