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

Lösung

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

y = e^{c_{1}} x^{2} + 4 e^{c_{1}} x + 4 e^{c_{1}}

Schritte zur Lösung

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

Solve separable ODE:

y = e^{c_{1}} x^{2} + 4 e^{c_{1}} x + 4 e^{c_{1}}

y = e^{c_{1}} x^{2} + 4 e^{c_{1}} x + 4 e^{c_{1}}

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

(x + 4) y^{^{'}} = y + 5

y^{^{''}} = x^{5} + x^{3} - sin (x)

f^{^{''}} (x) = 6 x^{3} x^{2}

f^{^{''}} (x) = y^{2} - 7 y