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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 (sin(x))/(cos(2x))

\int \frac{sin ( x )}{cos ( 2 x )} d x

e^{t^2}y^'+(t+ty^2)=0

e^{t^{2}} y^{^{'}} + (t + t y^{2}) = 0

y^'=-0.000631594*sqrt(y)

y^{^{'}} = - 0.000631594 \cdot y

limit as x approaches 1+of (4x-1)/(x-1)

x \to 1 + lim (\frac{4 x - 1}{x - 1})

derivative f(x)=2cos(x)

d er i v a t i v e f (x) = 2 cos (x)