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Beliebt Rechnen >

(1+x^2)dy+(xy+x^3+x)dx=0

Lösung

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

Lösung

y = - \frac{1 + x ^{2}}{3} + \frac{c _{1}}{1 + x ^{2}}

Schritte zur Lösung

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

Solve linear ODE:

y = - \frac{1 + x ^{2}}{3} + \frac{c _{1}}{1 + x ^{2}}

y = - \frac{1 + x ^{2}}{3} + \frac{c _{1}}{1 + x ^{2}}

Graph

Beliebte Beispiele

(dy)/(dx)=((6x-2xy^3))/(y^2)

\frac{d y}{d x} = \frac{( 6 x - 2 x y ^{3} )}{y ^{2}}

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\int_{1}^{6} \frac{x ^{2} + 1}{7 x - x ^{2}} d x

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