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Beliebt Rechnen >

x^2y^{''}+xy^'-4y=x^2+x

Lösung

x^{2} y^{^{''}} + x y^{^{'}} - 4 y = x^{2} + x

Lösung

y = c_{1} x^{2} + \frac{c _{2}}{x ^{2}} + \frac{12 x ^{2} ln ( x ) - 3 x ^{2} - 16 x}{48}

Schritte zur Lösung

x^{2} y^{''} (x) + x y^{'} (x) - 4 y = x^{2} + x

Solve linear ODE:

y = c_{1} x^{2} + \frac{c _{2}}{x ^{2}} + \frac{12 x ^{2} ln ( x ) - 3 x ^{2} - 16 x}{48}

y = c_{1} x^{2} + \frac{c _{2}}{x ^{2}} + \frac{12 x ^{2} ln ( x ) - 3 x ^{2} - 16 x}{48}

Graph

Beliebte Beispiele

derivative of e^{5x^5}

\frac{d}{d x} (e^{5 x^{5}})

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\frac{d}{d x} (- 4 cos (x) + x sin (x))

limit as x approaches 0 of x+1

x \to 0 lim (x + 1)

fläche 1/(x+1),((x-1))/2

a re a \frac{1}{x + 1}, \frac{( x - 1 )}{2}

integral of 1/(9-16x^2)

\int \frac{1}{9 - 16 x ^{2}} d x