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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

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

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

\H(x)(x)^2x^2dx-2x^3d\H(x)=0

H (x) (x)^{2} x^{2} d x - 2 x^{3} d H (x) = 0

y^{^{'}} = x (10 - y)

(dy)/(dx)=-5/7 x^3y^2

\frac{d y}{d x} = - \frac{5}{7} x^{3} y^{2}

sqrt(y)(dy)/(dx)+sqrt(y^3)=1,y(4)=0

y \frac{d y}{d x} + y^{3} = 1, y (4) = 0