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Beliebt Rechnen >

(xy)^2y^'=(x+5)/(sqrt(y))

Lösung

(x y)^{2} y^{^{'}} = \frac{x + 5}{y}

Lösung

y = (\frac{7 x ln ( x ) + 7 c _{1} x - 35}{2 x})^{\frac{2}{7}}

Schritte zur Lösung

(x y)^{2} y^{'} (x) = \frac{x + 5}{y}

Solve separable ODE:

y = (\frac{7 x ln ( x ) + 7 c _{1} x - 35}{2 x})^{\frac{2}{7}}

y = (\frac{7 x ln ( x ) + 7 c _{1} x - 35}{2 x})^{\frac{2}{7}}

Graph

Beliebte Beispiele

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

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

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

(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