((9+x^2)dy)/(dx)-xy=x

Lösung

\frac{( 9 + x ^{2} ) d y}{d x} - x y = x

y = c_{1} 9 + x^{2} - 1

Schritte zur Lösung

\frac{( 9 + x ^{2} ) d y}{d x} - x y = x

Solve separable ODE:

y = c_{1} 9 + x^{2} - 1

y = c_{1} 9 + x^{2} - 1

y^{^{'}} = \frac{5 x ^{2} - 1}{5 + 6 y}

2 x y^{^{'}} + x^{2} y = 0

y^{^{'}} = \frac{x + x y ^{2}}{4 x}

\frac{d y}{d x} = \frac{sin ( 5 x )}{y}

\frac{d}{d x} ((y) \cdot 10) + 5 y = 0