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Beliebt Rechnen >

(dy)/(dx)-2xy=-3x^2e^{x^2}

Lösung

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

Lösung

y = - e^{x^{2}} x^{3} + c_{1} e^{x^{2}}

Schritte zur Lösung

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

Solve linear ODE:

y = - e^{x^{2}} x^{3} + c_{1} e^{x^{2}}

y = - e^{x^{2}} x^{3} + c_{1} e^{x^{2}}

Graph

Beliebte Beispiele

limit as y approaches 5 of (25-y^2)/(y^2-4y-5)

y \to 5 lim (\frac{25 - y ^{2}}{y ^{2} - 4 y - 5})

integral of (sin(2t+1))/(cos^2(2t+1))

\int \frac{sin ( 2 t + 1 )}{cos ^{2} ( 2 t + 1 )} d t

y^{^{'}} = \frac{1 - x}{y}

derivative of-3tan(3x)

\frac{d}{d x} (- 3 tan (3 x))

derivative of-asin(x)

\frac{d}{d x} (- a sin (x))