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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

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

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

(dy)/(dx)=y(2x^2+4)

\frac{d y}{d x} = y (2 x^{2} + 4)

(3x^2y+2y)dx+(x^3+2x)dy=0

(3 x^{2} y + 2 y) d x + (x^{3} + 2 x) d y = 0

y^'=(x-1)/(y^2)

y^{^{'}} = \frac{x - 1}{y ^{2}}

(dy)/(dx)=((3e^x))/((3y+1))

\frac{d y}{d x} = \frac{( 3 e ^{x} )}{( 3 y + 1 )}