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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

h^'=-0.02215*h^{1/2}

h^{^{'}} = - 0.02215 \cdot h^{\frac{1}{2}}

y^'=((x^3sqrt(x^4-1)))/(y^3)

y^{^{'}} = \frac{( x ^{3} x ^{4} - 1 )}{y ^{3}}

y^{^{'}} + 7 \frac{y}{x} = 0

(dx)/(dy)=(xy^2+x)/(10y^2)

\frac{d x}{d y} = \frac{x y ^{2} + x}{10 y ^{2}}

(dy)/(dx)=xy^2,y(-3)=-1/5

\frac{d y}{d x} = x y^{2}, y (- 3) = - \frac{1}{5}