x^2y^{''}-3xy^'-2y=0

Lösung

x^{2} y^{^{''}} - 3 x y^{^{'}} - 2 y = 0

y = c_{1} x^{2 + 6} + c_{2} x^{2 - 6}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} x^{2 + 6} + c_{2} x^{2 - 6}

y = c_{1} x^{2 + 6} + c_{2} x^{2 - 6}

x \to - \frac{π}{3} lim (- sec (x))

\int \frac{36 - 25 x ^{2}}{x} d x

\int_{0}^{1} \frac{1}{t ^{2} + 1} d t

x^{2} y^{^{''}} - 2 x y^{^{'}} + 2 y = x^{3} e^{x}

\int_{1}^{2} \frac{9 x ^{3} + 4 x ^{2} - 2}{x} d x