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Beliebt Rechnen >

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

Lösung

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

Lösung

y = \frac{x ^{3}}{4 e ^{x^{2}}} + \frac{c _{1}}{e ^{x^{2}} x}

Schritte zur Lösung

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

Solve linear ODE:

y = \frac{x ^{3}}{4 e ^{x^{2}}} + \frac{c _{1}}{e ^{x^{2}} x}

y = \frac{x ^{3}}{4 e ^{x^{2}}} + \frac{c _{1}}{e ^{x^{2}} x}

Graph

Beliebte Beispiele

derivative of sec(7x)

\frac{d}{d x} (sec (7 x))

derivative of 2x(x+1^2)

\frac{d}{d x} (2 x (x + 1)^{2})

limit as x approaches 3+of x/(3x-x^3)

x \to 3 + lim (\frac{x}{3 x - x ^{3}})

derivative of (sin(x)^2)

\frac{d}{d x} ((sin (x))^{2})

limit as x approaches 0 of (cos(x))^{cot^2(x)}

x \to 0 lim ((cos (x))^{c o t^{2} (x)})