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Beliebt Rechnen >

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

Lösung

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

Lösung

y = x^{2} - x + \frac{c _{1} x}{e ^{x + c_{1}}}

Schritte zur Lösung

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

Solve linear ODE:

y = x^{2} - x + \frac{c _{1} x}{e ^{x + c_{1}}}

y = x^{2} - x + \frac{c _{1} x}{e ^{x + c_{1}}}

Graph

Beliebte Beispiele

derivative 3/(x-2)

d er i v a t i v e \frac{3}{x - 2}

integral of (x^2)/((sqrt(x^2+9))^3)

\int \frac{x ^{2}}{( x ^{2} + 9 ) ^{3}} d x

limit as x approaches 4 of sqrt(x)

x \to 4 lim (x)

fläche y=5x^3-2x^4,x=0,x=2

a re a y = 5 x^{3} - 2 x^{4}, x = 0, x = 2

derivative of 6x^2*cos(2x)

\frac{d}{d x} (6 x^{2} \cdot cos (2 x))