y^'=(21x)/y

Lösung

y^{^{'}} = \frac{21 x}{y}

y = 21 x^{2} + c_{1}, y = - 21 x^{2} + c_{1}

Schritte zur Lösung

y^{'} (x) = \frac{21 x}{y}

Solve separable ODE:

y = 21 x^{2} + c_{1}, y = - 21 x^{2} + c_{1}

y = 21 x^{2} + c_{1}, y = - 21 x^{2} + c_{1}

\frac{d t}{d y} = (2 t y^{2})

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

(x^{2} + 4) y^{^{'}} + x y = 9 x

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

\frac{x ( d y )}{( d x ) - 4 y} = 2 x^{(5)} e^{(x)}