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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

d/(da)(cos(a)tan(a))

\frac{d}{d a} (cos (a) tan (a))

limit as x approaches 1 of 2x-3

x \to 1 lim (2 x - 3)

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

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

2y(dy)/(dx)+8x=6

2 y \frac{d y}{d x} + 8 x = 6

derivative ln(2/3 x)

d er i v a t i v e ln (\frac{2}{3} x)