x^2y^{''}-14xy^'+56y=0

Lösung

x^{2} y^{^{''}} - 14 x y^{^{'}} + 56 y = 0

y = c_{1} x^{8} + c_{2} x^{7}

Schritte zur Lösung

x^{2} y^{''} (x) - 14 x y^{'} (x) + 56 y = 0

Solve linear ODE:

y = c_{1} x^{8} + c_{2} x^{7}

y = c_{1} x^{8} + c_{2} x^{7}

\int (\frac{x ^{3} + 2 x ^{2} - 4}{x ^{2}}) d x

\int_{1}^{2} x - 1 d x

in v erse l a pl a ce \frac{3 s}{( s ^{2} + 4 )}

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

\frac{d}{d x} ((\frac{10}{4 + x})^{\frac{1}{2}})