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Beliebt Rechnen >

(dy}{dx}=\frac{[(x^2)(y^2)])/5

Lösung

\frac{d y}{d x} = \frac{[ ( x ^{2} ) ( y ^{2} ) ]}{5}

Lösung

y = - \frac{15}{x ^{3} + c _{1}}

Schritte zur Lösung

\frac{d y}{d x} = \frac{[ ( x ^{2} ) ( y ^{2} ) ]}{5}

Solve separable ODE:

y = - \frac{15}{x ^{3} + c _{1}}

y = - \frac{15}{x ^{3} + c _{1}}

Graph

Beliebte Beispiele

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

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

y^{^{'}} = 3.2 y - 10 y^{2}

y^'=(x^3)/(y^4)

y^{^{'}} = \frac{x ^{3}}{y ^{4}}

(dy)/(dx)=x(sqrt(y))

\frac{d y}{d x} = x (y)

6y(dy)/(dx)=5x^2

6 y \frac{d y}{d x} = 5 x^{2}