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Beliebt Rechnen >

x^2y^'-2x^3e^{(-1)/x}=y

Lösung

x^{2} y^{^{'}} - 2 x^{3} e^{\frac{- 1}{x}} = y

Lösung

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

Schritte zur Lösung

x^{2} y^{'} (x) - 2 x^{3} e^{\frac{- 1}{x}} = y

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

integral of 4/(x(x^2+4)^2)

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

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\frac{d}{d x} (25 + 3 x - x^{2} + 5 x^{8})

derivative f(x)= 3/(x^3)

d er i v a t i v e f (x) = \frac{3}{x ^{3}}

integral of 7sec^3(2x)

\int 7 sec^{3} (2 x) d x

(dy)/(dx)+y^2-y=0

\frac{d y}{d x} + y^{2} - y = 0