y^'+y/x = 7/(x^2)+3

Lösung

y^{^{'}} + \frac{y}{x} = \frac{7}{x ^{2}} + 3

y = \frac{7 ln ( x )}{x} + \frac{3 x}{2} + \frac{c _{1}}{x}

Schritte zur Lösung

y^{'} (x) + \frac{y}{x} = \frac{7}{x ^{2}} + 3

Solve linear ODE:

y = \frac{7 ln ( x )}{x} + \frac{3 x}{2} + \frac{c _{1}}{x}

y = \frac{7 ln ( x )}{x} + \frac{3 x}{2} + \frac{c _{1}}{x}

\int (e x^{2} + π) d x

x \to 0 lim (\frac{( 2 ∣ x ∣ )}{3 x})

\frac{\partial}{\partial x} (x^{2} + y^{2} - y cos (x))

\int - \frac{x ^{2}}{( - x + 1 ) ( x + 1 )} d x

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