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Beliebt Rechnen >

y^'+27y= 1/(x^2)

Lösung

y^{^{'}} + 27 y = \frac{1}{x ^{2}}

Lösung

y = - \frac{1}{x} + \frac{27 Ei ( 27 x )}{e ^{27 x}} + \frac{c _{1}}{e ^{27 x}}

Schritte zur Lösung

y^{'} (x) + 27 y = \frac{1}{x ^{2}}

Solve linear ODE:

y = - \frac{1}{x} + \frac{27 Ei ( 27 x )}{e ^{27 x}} + \frac{c _{1}}{e ^{27 x}}

y = - \frac{1}{x} + \frac{27 Ei ( 27 x )}{e ^{27 x}} + \frac{c _{1}}{e ^{27 x}}

Beliebte Beispiele

integral of x/((1-x^2)^{1/2)}

\int \frac{x}{( 1 - x ^{2} ) ^{\frac{1}{2}}} d x

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sum from n=1 to infinity of 2/(3^{n-1)}

n = 1 \sum \infty \frac{2}{3 ^{n - 1}}

integral of 5cot^4(x)

\int 5 cot^{4} (x) d x

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\int_{1}^{2} \frac{1}{x ^{2}} - \frac{4}{x ^{3}} d x