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Beliebt Rechnen >

(dy)/(dx)=x^2y+y

Lösung

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

Lösung

y = e^{\frac{x ^{3}}{3} + x + c_{1}}

Schritte zur Lösung

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

Solve separable ODE:

y = e^{\frac{x ^{3}}{3} + x + c_{1}}

y = e^{\frac{x ^{3}}{3} + x + c_{1}}

Graph

Beliebte Beispiele

2ye^{y^2}y^'=2x+3sqrt(x)

2 y e^{y^{2}} y^{^{'}} = 2 x + 3 x

sqrt(1-x^2)dy-xydx=0

1 - x^{2} d y - x y d x = 0

(dy)/(dx)=(1-y)(2-y)

\frac{d y}{d x} = (1 - y) (2 - y)

y^'coth(2x)=2y-2

y^{^{'}} coth (2 x) = 2 y - 2

(dy)/(dx)=xsqrt(y),y(1)=4

\frac{d y}{d x} = x y, y (1) = 4