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Beliebt Rechnen >

(dy)/(dx)=y(8x^2+1)

Lösung

\frac{d y}{d x} = y (8 x^{2} + 1)

Lösung

y = e^{\frac{8 x ^{3}}{3} + x + c_{1}}

Schritte zur Lösung

\frac{d y}{d x} = y (8 x^{2} + 1)

Solve separable ODE:

y = e^{\frac{8 x ^{3}}{3} + x + c_{1}}

y = e^{\frac{8 x ^{3}}{3} + x + c_{1}}

Graph

Beliebte Beispiele

1/(y^2)-(3x)/(y^3)(dy)/(dx)=0

\frac{1}{y ^{2}} - \frac{3 x}{y ^{3}} \frac{d y}{d x} = 0

y^{^{'}} = 2^{x - y}

y^2y^'=2(t+ty^3)e^{t^2},y(0)=0

y^{2} y^{^{'}} = 2 (t + t y^{3}) e^{t^{2}}, y (0) = 0

y^'(x)=(2x-1)/(3y^2-3),y(1)=0

y^{^{'}} (x) = \frac{2 x - 1}{3 y ^{2} - 3}, y (1) = 0

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