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Beliebt Rechnen >

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

Lösung

\frac{d y}{d x} = y (x^{2} + 6)

Lösung

y = e^{\frac{x ^{3}}{3} + 6 x + c_{1}}

Schritte zur Lösung

\frac{d y}{d x} = y (x^{2} + 6)

Solve separable ODE:

y = e^{\frac{x ^{3}}{3} + 6 x + c_{1}}

y = e^{\frac{x ^{3}}{3} + 6 x + c_{1}}

Graph

Beliebte Beispiele

(1-y^2)dx+xdy=0

(1 - y^{2}) d x + x d y = 0

(dy)/(dx)-2xy=2x,y(0)=3

\frac{d y}{d x} - 2 x y = 2 x, y (0) = 3

(dy)/(dx)=3(y^5)/(x^4)

\frac{d y}{d x} = 3 \frac{y ^{5}}{x ^{4}}

y^'+4/(20+t)y=0

y^{^{'}} + \frac{4}{20 + t} y = 0

x(dy)/(dx)-3=2(y+(dy)/(dx))

x \frac{d y}{d x} - 3 = 2 (y + \frac{d y}{d x})